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Finding the Fourth Proportional to 10,338.76, 15,508 and 2,547.60

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Solution

The fourth proportional to 10,338.76, 15,508 and 2,547.60 is: 3,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.76 : 15,508 = 2,547.60 : x
  2. Step 2: Convert to fraction form
    10,338.76/15,508 = 2,547.60/x
  3. Step 3: Cross multiply
    10,338.76x = 15,508 × 2,547.60
  4. Step 4: Simplify right side
    10,338.76x = 39,508,180.80
  5. Step 5: Solve for x
    x = 39,508,180.80/10,338.76
  6. Step 6: Final answer
    x = 3,821.37

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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.