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Finding the Fourth Proportional to 8,689.34, 13,034.10 and 3,142.70

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Solution

The fourth proportional to 8,689.34, 13,034.10 and 3,142.70 is: 4,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.34 : 13,034.10 = 3,142.70 : x
  2. Step 2: Convert to fraction form
    8,689.34/13,034.10 = 3,142.70/x
  3. Step 3: Cross multiply
    8,689.34x = 13,034.10 × 3,142.70
  4. Step 4: Simplify right side
    8,689.34x = 40,962,266.07
  5. Step 5: Solve for x
    x = 40,962,266.07/8,689.34
  6. Step 6: Final answer
    x = 4,714.08

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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.