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Finding the Fourth Proportional to 14,649.60, 21,974.40 and 9,109.20

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Solution

The fourth proportional to 14,649.60, 21,974.40 and 9,109.20 is: 13,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.60 : 21,974.40 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    14,649.60/21,974.40 = 9,109.20/x
  3. Step 3: Cross multiply
    14,649.60x = 21,974.40 × 9,109.20
  4. Step 4: Simplify right side
    14,649.60x = 200,169,204.48
  5. Step 5: Solve for x
    x = 200,169,204.48/14,649.60
  6. Step 6: Final answer
    x = 13,663.80

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Similar ratio
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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.