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Finding the Fourth Proportional to 9,068, 12,514.18 and 5,290.58

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Solution

The fourth proportional to 9,068, 12,514.18 and 5,290.58 is: 7,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068 : 12,514.18 = 5,290.58 : x
  2. Step 2: Convert to fraction form
    9,068/12,514.18 = 5,290.58/x
  3. Step 3: Cross multiply
    9,068x = 12,514.18 × 5,290.58
  4. Step 4: Simplify right side
    9,068x = 66,207,270.42
  5. Step 5: Solve for x
    x = 66,207,270.42/9,068
  6. Step 6: Final answer
    x = 7,301.20

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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.