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Finding the Fourth Proportional to 10,388, 15,582 and 3,463.04

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Solution

The fourth proportional to 10,388, 15,582 and 3,463.04 is: 5,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388 : 15,582 = 3,463.04 : x
  2. Step 2: Convert to fraction form
    10,388/15,582 = 3,463.04/x
  3. Step 3: Cross multiply
    10,388x = 15,582 × 3,463.04
  4. Step 4: Simplify right side
    10,388x = 53,961,089.28
  5. Step 5: Solve for x
    x = 53,961,089.28/10,388
  6. Step 6: Final answer
    x = 5,194.56

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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.