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Finding the Fourth Proportional to 5,149.34, 7,657.76 and 4,985.31

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Solution

The fourth proportional to 5,149.34, 7,657.76 and 4,985.31 is: 7,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.34 : 7,657.76 = 4,985.31 : x
  2. Step 2: Convert to fraction form
    5,149.34/7,657.76 = 4,985.31/x
  3. Step 3: Cross multiply
    5,149.34x = 7,657.76 × 4,985.31
  4. Step 4: Simplify right side
    5,149.34x = 38,176,282.58
  5. Step 5: Solve for x
    x = 38,176,282.58/5,149.34
  6. Step 6: Final answer
    x = 7,413.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.