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Finding the Fourth Proportional to 10,572, 15,858.13 and 5,025.88

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Solution

The fourth proportional to 10,572, 15,858.13 and 5,025.88 is: 7,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 15,858.13 = 5,025.88 : x
  2. Step 2: Convert to fraction form
    10,572/15,858.13 = 5,025.88/x
  3. Step 3: Cross multiply
    10,572x = 15,858.13 × 5,025.88
  4. Step 4: Simplify right side
    10,572x = 79,701,058.40
  5. Step 5: Solve for x
    x = 79,701,058.40/10,572
  6. Step 6: Final answer
    x = 7,538.88

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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.