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Finding the Fourth Proportional to 2,714.24, 4,070.90 and 766.10

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Solution

The fourth proportional to 2,714.24, 4,070.90 and 766.10 is: 1,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.24 : 4,070.90 = 766.10 : x
  2. Step 2: Convert to fraction form
    2,714.24/4,070.90 = 766.10/x
  3. Step 3: Cross multiply
    2,714.24x = 4,070.90 × 766.10
  4. Step 4: Simplify right side
    2,714.24x = 3,118,716.49
  5. Step 5: Solve for x
    x = 3,118,716.49/2,714.24
  6. Step 6: Final answer
    x = 1,149.02

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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.