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Finding the Fourth Proportional to 27,131.78, 40,649.07 and 9,590.42

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Solution

The fourth proportional to 27,131.78, 40,649.07 and 9,590.42 is: 14,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.78 : 40,649.07 = 9,590.42 : x
  2. Step 2: Convert to fraction form
    27,131.78/40,649.07 = 9,590.42/x
  3. Step 3: Cross multiply
    27,131.78x = 40,649.07 × 9,590.42
  4. Step 4: Simplify right side
    27,131.78x = 389,841,653.91
  5. Step 5: Solve for x
    x = 389,841,653.91/27,131.78
  6. Step 6: Final answer
    x = 14,368.45

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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.