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Finding the Fourth Proportional to 5,107.32, 7,654.23 and 4,978.53

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Solution

The fourth proportional to 5,107.32, 7,654.23 and 4,978.53 is: 7,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.32 : 7,654.23 = 4,978.53 : x
  2. Step 2: Convert to fraction form
    5,107.32/7,654.23 = 4,978.53/x
  3. Step 3: Cross multiply
    5,107.32x = 7,654.23 × 4,978.53
  4. Step 4: Simplify right side
    5,107.32x = 38,106,813.68
  5. Step 5: Solve for x
    x = 38,106,813.68/5,107.32
  6. Step 6: Final answer
    x = 7,461.22

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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.