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Finding the Fourth Proportional to 5,102, 7,654.28 and 1,454

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Solution

The fourth proportional to 5,102, 7,654.28 and 1,454 is: 2,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,654.28 = 1,454 : x
  2. Step 2: Convert to fraction form
    5,102/7,654.28 = 1,454/x
  3. Step 3: Cross multiply
    5,102x = 7,654.28 × 1,454
  4. Step 4: Simplify right side
    5,102x = 11,129,323.12
  5. Step 5: Solve for x
    x = 11,129,323.12/5,102
  6. Step 6: Final answer
    x = 2,181.36

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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.