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Finding the Fourth Proportional to 4,985.76, 7,472.16 and 4,908

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Solution

The fourth proportional to 4,985.76, 7,472.16 and 4,908 is: 7,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.76 : 7,472.16 = 4,908 : x
  2. Step 2: Convert to fraction form
    4,985.76/7,472.16 = 4,908/x
  3. Step 3: Cross multiply
    4,985.76x = 7,472.16 × 4,908
  4. Step 4: Simplify right side
    4,985.76x = 36,673,361.28
  5. Step 5: Solve for x
    x = 36,673,361.28/4,985.76
  6. Step 6: Final answer
    x = 7,355.62

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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.