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Finding the Fourth Proportional to 2,923.40, 4,385.10 and 975.75

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Solution

The fourth proportional to 2,923.40, 4,385.10 and 975.75 is: 1,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.40 : 4,385.10 = 975.75 : x
  2. Step 2: Convert to fraction form
    2,923.40/4,385.10 = 975.75/x
  3. Step 3: Cross multiply
    2,923.40x = 4,385.10 × 975.75
  4. Step 4: Simplify right side
    2,923.40x = 4,278,761.33
  5. Step 5: Solve for x
    x = 4,278,761.33/2,923.40
  6. Step 6: Final answer
    x = 1,463.63

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.