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Finding the Fourth Proportional to 4,139.90, 5,714.90 and 2,461.85

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Solution

The fourth proportional to 4,139.90, 5,714.90 and 2,461.85 is: 3,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.90 : 5,714.90 = 2,461.85 : x
  2. Step 2: Convert to fraction form
    4,139.90/5,714.90 = 2,461.85/x
  3. Step 3: Cross multiply
    4,139.90x = 5,714.90 × 2,461.85
  4. Step 4: Simplify right side
    4,139.90x = 14,069,226.57
  5. Step 5: Solve for x
    x = 14,069,226.57/4,139.90
  6. Step 6: Final answer
    x = 3,398.45

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.