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Finding the Fourth Proportional to 15,461.70, 23,191.92 and 7,138.98

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Solution

The fourth proportional to 15,461.70, 23,191.92 and 7,138.98 is: 10,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.70 : 23,191.92 = 7,138.98 : x
  2. Step 2: Convert to fraction form
    15,461.70/23,191.92 = 7,138.98/x
  3. Step 3: Cross multiply
    15,461.70x = 23,191.92 × 7,138.98
  4. Step 4: Simplify right side
    15,461.70x = 165,566,653.04
  5. Step 5: Solve for x
    x = 165,566,653.04/15,461.70
  6. Step 6: Final answer
    x = 10,708.18

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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.