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Finding the Fourth Proportional to 2,570.92, 3,862.72 and 1,646.88

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Solution

The fourth proportional to 2,570.92, 3,862.72 and 1,646.88 is: 2,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.92 : 3,862.72 = 1,646.88 : x
  2. Step 2: Convert to fraction form
    2,570.92/3,862.72 = 1,646.88/x
  3. Step 3: Cross multiply
    2,570.92x = 3,862.72 × 1,646.88
  4. Step 4: Simplify right side
    2,570.92x = 6,361,436.31
  5. Step 5: Solve for x
    x = 6,361,436.31/2,570.92
  6. Step 6: Final answer
    x = 2,474.38

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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.