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Finding the Fourth Proportional to 5,102.88, 7,654.32 and 1,640.16

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Solution

The fourth proportional to 5,102.88, 7,654.32 and 1,640.16 is: 2,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.88 : 7,654.32 = 1,640.16 : x
  2. Step 2: Convert to fraction form
    5,102.88/7,654.32 = 1,640.16/x
  3. Step 3: Cross multiply
    5,102.88x = 7,654.32 × 1,640.16
  4. Step 4: Simplify right side
    5,102.88x = 12,554,309.49
  5. Step 5: Solve for x
    x = 12,554,309.49/5,102.88
  6. Step 6: Final answer
    x = 2,460.24

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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.