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Finding the Fourth Proportional to 2,487.64, 3,433.10 and 1,646.88

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Solution

The fourth proportional to 2,487.64, 3,433.10 and 1,646.88 is: 2,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.64 : 3,433.10 = 1,646.88 : x
  2. Step 2: Convert to fraction form
    2,487.64/3,433.10 = 1,646.88/x
  3. Step 3: Cross multiply
    2,487.64x = 3,433.10 × 1,646.88
  4. Step 4: Simplify right side
    2,487.64x = 5,653,903.73
  5. Step 5: Solve for x
    x = 5,653,903.73/2,487.64
  6. Step 6: Final answer
    x = 2,272.80

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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.