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Finding the Fourth Proportional to 5,148.91, 7,708.65 and 4,821.95

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Solution

The fourth proportional to 5,148.91, 7,708.65 and 4,821.95 is: 7,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.91 : 7,708.65 = 4,821.95 : x
  2. Step 2: Convert to fraction form
    5,148.91/7,708.65 = 4,821.95/x
  3. Step 3: Cross multiply
    5,148.91x = 7,708.65 × 4,821.95
  4. Step 4: Simplify right side
    5,148.91x = 37,170,724.87
  5. Step 5: Solve for x
    x = 37,170,724.87/5,148.91
  6. Step 6: Final answer
    x = 7,219.14

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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.