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Finding the Fourth Proportional to 15,662.40, 21,613.92 and 8,948.16

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Solution

The fourth proportional to 15,662.40, 21,613.92 and 8,948.16 is: 12,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.40 : 21,613.92 = 8,948.16 : x
  2. Step 2: Convert to fraction form
    15,662.40/21,613.92 = 8,948.16/x
  3. Step 3: Cross multiply
    15,662.40x = 21,613.92 × 8,948.16
  4. Step 4: Simplify right side
    15,662.40x = 193,404,814.39
  5. Step 5: Solve for x
    x = 193,404,814.39/15,662.40
  6. Step 6: Final answer
    x = 12,348.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.