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Finding the Fourth Proportional to 4,624.50, 6,951.78 and 3,710.06

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Solution

The fourth proportional to 4,624.50, 6,951.78 and 3,710.06 is: 5,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.50 : 6,951.78 = 3,710.06 : x
  2. Step 2: Convert to fraction form
    4,624.50/6,951.78 = 3,710.06/x
  3. Step 3: Cross multiply
    4,624.50x = 6,951.78 × 3,710.06
  4. Step 4: Simplify right side
    4,624.50x = 25,791,503.53
  5. Step 5: Solve for x
    x = 25,791,503.53/4,624.50
  6. Step 6: Final answer
    x = 5,577.15

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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.