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Finding the Fourth Proportional to 21,442, 32,144.40 and 8,303.92

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Solution

The fourth proportional to 21,442, 32,144.40 and 8,303.92 is: 12,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442 : 32,144.40 = 8,303.92 : x
  2. Step 2: Convert to fraction form
    21,442/32,144.40 = 8,303.92/x
  3. Step 3: Cross multiply
    21,442x = 32,144.40 × 8,303.92
  4. Step 4: Simplify right side
    21,442x = 266,924,526.05
  5. Step 5: Solve for x
    x = 266,924,526.05/21,442
  6. Step 6: Final answer
    x = 12,448.68

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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.