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Finding the Fourth Proportional to 8,714.28, 13,097.34 and 8,070.60

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Solution

The fourth proportional to 8,714.28, 13,097.34 and 8,070.60 is: 12,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.28 : 13,097.34 = 8,070.60 : x
  2. Step 2: Convert to fraction form
    8,714.28/13,097.34 = 8,070.60/x
  3. Step 3: Cross multiply
    8,714.28x = 13,097.34 × 8,070.60
  4. Step 4: Simplify right side
    8,714.28x = 105,703,392.20
  5. Step 5: Solve for x
    x = 105,703,392.20/8,714.28
  6. Step 6: Final answer
    x = 12,129.91

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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.