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Finding the Fourth Proportional to 31,278.69, 46,921.11 and 9,086.10

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Solution

The fourth proportional to 31,278.69, 46,921.11 and 9,086.10 is: 13,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.69 : 46,921.11 = 9,086.10 : x
  2. Step 2: Convert to fraction form
    31,278.69/46,921.11 = 9,086.10/x
  3. Step 3: Cross multiply
    31,278.69x = 46,921.11 × 9,086.10
  4. Step 4: Simplify right side
    31,278.69x = 426,329,897.57
  5. Step 5: Solve for x
    x = 426,329,897.57/31,278.69
  6. Step 6: Final answer
    x = 13,630.04

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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.