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Finding the Fourth Proportional to 10,551.68, 15,793.12 and 7,777.28

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Solution

The fourth proportional to 10,551.68, 15,793.12 and 7,777.28 is: 11,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.68 : 15,793.12 = 7,777.28 : x
  2. Step 2: Convert to fraction form
    10,551.68/15,793.12 = 7,777.28/x
  3. Step 3: Cross multiply
    10,551.68x = 15,793.12 × 7,777.28
  4. Step 4: Simplify right side
    10,551.68x = 122,827,516.31
  5. Step 5: Solve for x
    x = 122,827,516.31/10,551.68
  6. Step 6: Final answer
    x = 11,640.56

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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.