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Finding the Fourth Proportional to 10,875.78, 15,010.65 and 7,704.90

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Solution

The fourth proportional to 10,875.78, 15,010.65 and 7,704.90 is: 10,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.78 : 15,010.65 = 7,704.90 : x
  2. Step 2: Convert to fraction form
    10,875.78/15,010.65 = 7,704.90/x
  3. Step 3: Cross multiply
    10,875.78x = 15,010.65 × 7,704.90
  4. Step 4: Simplify right side
    10,875.78x = 115,655,557.19
  5. Step 5: Solve for x
    x = 115,655,557.19/10,875.78
  6. Step 6: Final answer
    x = 10,634.23

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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.