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Finding the Fourth Proportional to 15,977.71, 22,042.74 and 9,679.15

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Solution

The fourth proportional to 15,977.71, 22,042.74 and 9,679.15 is: 13,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.71 : 22,042.74 = 9,679.15 : x
  2. Step 2: Convert to fraction form
    15,977.71/22,042.74 = 9,679.15/x
  3. Step 3: Cross multiply
    15,977.71x = 22,042.74 × 9,679.15
  4. Step 4: Simplify right side
    15,977.71x = 213,354,986.87
  5. Step 5: Solve for x
    x = 213,354,986.87/15,977.71
  6. Step 6: Final answer
    x = 13,353.29

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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.