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Finding the Fourth Proportional to 14,102.57, 19,461.87 and 7,729.29

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Solution

The fourth proportional to 14,102.57, 19,461.87 and 7,729.29 is: 10,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.57 : 19,461.87 = 7,729.29 : x
  2. Step 2: Convert to fraction form
    14,102.57/19,461.87 = 7,729.29/x
  3. Step 3: Cross multiply
    14,102.57x = 19,461.87 × 7,729.29
  4. Step 4: Simplify right side
    14,102.57x = 150,426,437.17
  5. Step 5: Solve for x
    x = 150,426,437.17/14,102.57
  6. Step 6: Final answer
    x = 10,666.60

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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.