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Finding the Fourth Proportional to 32,902.29, 49,343.58 and 9,204.12

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Solution

The fourth proportional to 32,902.29, 49,343.58 and 9,204.12 is: 13,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.29 : 49,343.58 = 9,204.12 : x
  2. Step 2: Convert to fraction form
    32,902.29/49,343.58 = 9,204.12/x
  3. Step 3: Cross multiply
    32,902.29x = 49,343.58 × 9,204.12
  4. Step 4: Simplify right side
    32,902.29x = 454,164,231.55
  5. Step 5: Solve for x
    x = 454,164,231.55/32,902.29
  6. Step 6: Final answer
    x = 13,803.42

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1.5x scale

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.