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Finding the Fourth Proportional to 4,980.53, 7,470.20 and 1,648.78

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Solution

The fourth proportional to 4,980.53, 7,470.20 and 1,648.78 is: 2,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.53 : 7,470.20 = 1,648.78 : x
  2. Step 2: Convert to fraction form
    4,980.53/7,470.20 = 1,648.78/x
  3. Step 3: Cross multiply
    4,980.53x = 7,470.20 × 1,648.78
  4. Step 4: Simplify right side
    4,980.53x = 12,316,718.18
  5. Step 5: Solve for x
    x = 12,316,718.18/4,980.53
  6. Step 6: Final answer
    x = 2,472.97

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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.