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Finding the Fourth Proportional to 21,423.96, 32,136 and 7,572.96

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Solution

The fourth proportional to 21,423.96, 32,136 and 7,572.96 is: 11,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.96 : 32,136 = 7,572.96 : x
  2. Step 2: Convert to fraction form
    21,423.96/32,136 = 7,572.96/x
  3. Step 3: Cross multiply
    21,423.96x = 32,136 × 7,572.96
  4. Step 4: Simplify right side
    21,423.96x = 243,364,642.56
  5. Step 5: Solve for x
    x = 243,364,642.56/21,423.96
  6. Step 6: Final answer
    x = 11,359.46

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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.