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Finding the Fourth Proportional to 1,923.75, 2,885.63 and 880.61

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Solution

The fourth proportional to 1,923.75, 2,885.63 and 880.61 is: 1,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.75 : 2,885.63 = 880.61 : x
  2. Step 2: Convert to fraction form
    1,923.75/2,885.63 = 880.61/x
  3. Step 3: Cross multiply
    1,923.75x = 2,885.63 × 880.61
  4. Step 4: Simplify right side
    1,923.75x = 2,541,095.80
  5. Step 5: Solve for x
    x = 2,541,095.80/1,923.75
  6. Step 6: Final answer
    x = 1,320.91

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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.