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Finding the Fourth Proportional to 2,714.40, 4,070.96 and 865.80

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Solution

The fourth proportional to 2,714.40, 4,070.96 and 865.80 is: 1,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.40 : 4,070.96 = 865.80 : x
  2. Step 2: Convert to fraction form
    2,714.40/4,070.96 = 865.80/x
  3. Step 3: Cross multiply
    2,714.40x = 4,070.96 × 865.80
  4. Step 4: Simplify right side
    2,714.40x = 3,524,637.17
  5. Step 5: Solve for x
    x = 3,524,637.17/2,714.40
  6. Step 6: Final answer
    x = 1,298.50

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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.