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Finding the Fourth Proportional to 21,487.72, 32,232 and 7,448.20

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Solution

The fourth proportional to 21,487.72, 32,232 and 7,448.20 is: 11,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,487.72 : 32,232 = 7,448.20 : x
  2. Step 2: Convert to fraction form
    21,487.72/32,232 = 7,448.20/x
  3. Step 3: Cross multiply
    21,487.72x = 32,232 × 7,448.20
  4. Step 4: Simplify right side
    21,487.72x = 240,070,301.82
  5. Step 5: Solve for x
    x = 240,070,301.82/21,487.72
  6. Step 6: Final answer
    x = 11,172.44

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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.