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Finding the Fourth Proportional to 5,097.84, 7,646.84 and 1,978.02

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Solution

The fourth proportional to 5,097.84, 7,646.84 and 1,978.02 is: 2,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.84 : 7,646.84 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    5,097.84/7,646.84 = 1,978.02/x
  3. Step 3: Cross multiply
    5,097.84x = 7,646.84 × 1,978.02
  4. Step 4: Simplify right side
    5,097.84x = 15,125,592.57
  5. Step 5: Solve for x
    x = 15,125,592.57/5,097.84
  6. Step 6: Final answer
    x = 2,967.06

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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.