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Finding the Fourth Proportional to 4,906.87, 7,347.99 and 2,931.28

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Solution

The fourth proportional to 4,906.87, 7,347.99 and 2,931.28 is: 4,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.87 : 7,347.99 = 2,931.28 : x
  2. Step 2: Convert to fraction form
    4,906.87/7,347.99 = 2,931.28/x
  3. Step 3: Cross multiply
    4,906.87x = 7,347.99 × 2,931.28
  4. Step 4: Simplify right side
    4,906.87x = 21,539,016.13
  5. Step 5: Solve for x
    x = 21,539,016.13/4,906.87
  6. Step 6: Final answer
    x = 4,389.56

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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.