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Finding the Fourth Proportional to 4,970.64, 7,456.20 and 2,777.70

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Solution

The fourth proportional to 4,970.64, 7,456.20 and 2,777.70 is: 4,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.64 : 7,456.20 = 2,777.70 : x
  2. Step 2: Convert to fraction form
    4,970.64/7,456.20 = 2,777.70/x
  3. Step 3: Cross multiply
    4,970.64x = 7,456.20 × 2,777.70
  4. Step 4: Simplify right side
    4,970.64x = 20,711,086.74
  5. Step 5: Solve for x
    x = 20,711,086.74/4,970.64
  6. Step 6: Final answer
    x = 4,166.68

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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.