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Finding the Fourth Proportional to 10,488, 15,729.12 and 3,916.80

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Solution

The fourth proportional to 10,488, 15,729.12 and 3,916.80 is: 5,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488 : 15,729.12 = 3,916.80 : x
  2. Step 2: Convert to fraction form
    10,488/15,729.12 = 3,916.80/x
  3. Step 3: Cross multiply
    10,488x = 15,729.12 × 3,916.80
  4. Step 4: Simplify right side
    10,488x = 61,607,817.22
  5. Step 5: Solve for x
    x = 61,607,817.22/10,488
  6. Step 6: Final answer
    x = 5,874.12

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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.