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Finding the Fourth Proportional to 6,436.52, 9,654.16 and 2,053.20

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Solution

The fourth proportional to 6,436.52, 9,654.16 and 2,053.20 is: 3,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.52 : 9,654.16 = 2,053.20 : x
  2. Step 2: Convert to fraction form
    6,436.52/9,654.16 = 2,053.20/x
  3. Step 3: Cross multiply
    6,436.52x = 9,654.16 × 2,053.20
  4. Step 4: Simplify right side
    6,436.52x = 19,821,921.31
  5. Step 5: Solve for x
    x = 19,821,921.31/6,436.52
  6. Step 6: Final answer
    x = 3,079.60

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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.