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Finding the Fourth Proportional to 10,353.50, 15,532.68 and 3,428

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Solution

The fourth proportional to 10,353.50, 15,532.68 and 3,428 is: 5,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.50 : 15,532.68 = 3,428 : x
  2. Step 2: Convert to fraction form
    10,353.50/15,532.68 = 3,428/x
  3. Step 3: Cross multiply
    10,353.50x = 15,532.68 × 3,428
  4. Step 4: Simplify right side
    10,353.50x = 53,246,027.04
  5. Step 5: Solve for x
    x = 53,246,027.04/10,353.50
  6. Step 6: Final answer
    x = 5,142.80

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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.