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Finding the Fourth Proportional to 3,415.09, 4,712.78 and 1,923.15

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Solution

The fourth proportional to 3,415.09, 4,712.78 and 1,923.15 is: 2,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.09 : 4,712.78 = 1,923.15 : x
  2. Step 2: Convert to fraction form
    3,415.09/4,712.78 = 1,923.15/x
  3. Step 3: Cross multiply
    3,415.09x = 4,712.78 × 1,923.15
  4. Step 4: Simplify right side
    3,415.09x = 9,063,379.13
  5. Step 5: Solve for x
    x = 9,063,379.13/3,415.09
  6. Step 6: Final answer
    x = 2,653.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.