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Finding the Fourth Proportional to 21,658.41, 32,477.90 and 9,965.25

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Solution

The fourth proportional to 21,658.41, 32,477.90 and 9,965.25 is: 14,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.41 : 32,477.90 = 9,965.25 : x
  2. Step 2: Convert to fraction form
    21,658.41/32,477.90 = 9,965.25/x
  3. Step 3: Cross multiply
    21,658.41x = 32,477.90 × 9,965.25
  4. Step 4: Simplify right side
    21,658.41x = 323,650,343.15
  5. Step 5: Solve for x
    x = 323,650,343.15/21,658.41
  6. Step 6: Final answer
    x = 14,943.40

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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.