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Finding the Fourth Proportional to 21,475.84, 32,211.84 and 7,434.56

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Solution

The fourth proportional to 21,475.84, 32,211.84 and 7,434.56 is: 11,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,475.84 : 32,211.84 = 7,434.56 : x
  2. Step 2: Convert to fraction form
    21,475.84/32,211.84 = 7,434.56/x
  3. Step 3: Cross multiply
    21,475.84x = 32,211.84 × 7,434.56
  4. Step 4: Simplify right side
    21,475.84x = 239,480,857.19
  5. Step 5: Solve for x
    x = 239,480,857.19/21,475.84
  6. Step 6: Final answer
    x = 11,151.18

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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.