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Finding the Fourth Proportional to 2,486.91, 3,424.10 and 2,113.30

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Solution

The fourth proportional to 2,486.91, 3,424.10 and 2,113.30 is: 2,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.91 : 3,424.10 = 2,113.30 : x
  2. Step 2: Convert to fraction form
    2,486.91/3,424.10 = 2,113.30/x
  3. Step 3: Cross multiply
    2,486.91x = 3,424.10 × 2,113.30
  4. Step 4: Simplify right side
    2,486.91x = 7,236,150.53
  5. Step 5: Solve for x
    x = 7,236,150.53/2,486.91
  6. Step 6: Final answer
    x = 2,909.70

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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.