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Finding the Fourth Proportional to 4,947.86, 7,410.04 and 3,776.40

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Solution

The fourth proportional to 4,947.86, 7,410.04 and 3,776.40 is: 5,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.86 : 7,410.04 = 3,776.40 : x
  2. Step 2: Convert to fraction form
    4,947.86/7,410.04 = 3,776.40/x
  3. Step 3: Cross multiply
    4,947.86x = 7,410.04 × 3,776.40
  4. Step 4: Simplify right side
    4,947.86x = 27,983,275.06
  5. Step 5: Solve for x
    x = 27,983,275.06/4,947.86
  6. Step 6: Final answer
    x = 5,655.63

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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.