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Finding the Fourth Proportional to 21,677.16, 32,490.64 and 9,965.80

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Solution

The fourth proportional to 21,677.16, 32,490.64 and 9,965.80 is: 14,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.16 : 32,490.64 = 9,965.80 : x
  2. Step 2: Convert to fraction form
    21,677.16/32,490.64 = 9,965.80/x
  3. Step 3: Cross multiply
    21,677.16x = 32,490.64 × 9,965.80
  4. Step 4: Simplify right side
    21,677.16x = 323,795,220.11
  5. Step 5: Solve for x
    x = 323,795,220.11/21,677.16
  6. Step 6: Final answer
    x = 14,937.16

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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.