Home / 5,102.89-7,654.06-1,640.14

Finding the Fourth Proportional to 5,102.89, 7,654.06 and 1,640.14

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Solution

The fourth proportional to 5,102.89, 7,654.06 and 1,640.14 is: 2,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.89 : 7,654.06 = 1,640.14 : x
  2. Step 2: Convert to fraction form
    5,102.89/7,654.06 = 1,640.14/x
  3. Step 3: Cross multiply
    5,102.89x = 7,654.06 × 1,640.14
  4. Step 4: Simplify right side
    5,102.89x = 12,553,729.97
  5. Step 5: Solve for x
    x = 12,553,729.97/5,102.89
  6. Step 6: Final answer
    x = 2,460.12

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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.