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Finding the Fourth Proportional to 21,613.92, 32,421.92 and 7,763.20

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Solution

The fourth proportional to 21,613.92, 32,421.92 and 7,763.20 is: 11,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.92 : 32,421.92 = 7,763.20 : x
  2. Step 2: Convert to fraction form
    21,613.92/32,421.92 = 7,763.20/x
  3. Step 3: Cross multiply
    21,613.92x = 32,421.92 × 7,763.20
  4. Step 4: Simplify right side
    21,613.92x = 251,697,849.34
  5. Step 5: Solve for x
    x = 251,697,849.34/21,613.92
  6. Step 6: Final answer
    x = 11,645.17

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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.