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Finding the Fourth Proportional to 9,073.78, 12,514.17 and 7,664.38

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Solution

The fourth proportional to 9,073.78, 12,514.17 and 7,664.38 is: 10,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.78 : 12,514.17 = 7,664.38 : x
  2. Step 2: Convert to fraction form
    9,073.78/12,514.17 = 7,664.38/x
  3. Step 3: Cross multiply
    9,073.78x = 12,514.17 × 7,664.38
  4. Step 4: Simplify right side
    9,073.78x = 95,913,354.26
  5. Step 5: Solve for x
    x = 95,913,354.26/9,073.78
  6. Step 6: Final answer
    x = 10,570.39

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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.