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Finding the Fourth Proportional to 10,306, 15,459 and 3,381.20

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Solution

The fourth proportional to 10,306, 15,459 and 3,381.20 is: 5,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306 : 15,459 = 3,381.20 : x
  2. Step 2: Convert to fraction form
    10,306/15,459 = 3,381.20/x
  3. Step 3: Cross multiply
    10,306x = 15,459 × 3,381.20
  4. Step 4: Simplify right side
    10,306x = 52,269,970.80
  5. Step 5: Solve for x
    x = 52,269,970.80/10,306
  6. Step 6: Final answer
    x = 5,071.80

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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.