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Finding the Fourth Proportional to 10,285.32, 15,415 and 8,574.60

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Solution

The fourth proportional to 10,285.32, 15,415 and 8,574.60 is: 12,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.32 : 15,415 = 8,574.60 : x
  2. Step 2: Convert to fraction form
    10,285.32/15,415 = 8,574.60/x
  3. Step 3: Cross multiply
    10,285.32x = 15,415 × 8,574.60
  4. Step 4: Simplify right side
    10,285.32x = 132,177,459
  5. Step 5: Solve for x
    x = 132,177,459/10,285.32
  6. Step 6: Final answer
    x = 12,851.08

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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.