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Finding the Fourth Proportional to 4,947.29, 7,410.15 and 2,477.80

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Solution

The fourth proportional to 4,947.29, 7,410.15 and 2,477.80 is: 3,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.29 : 7,410.15 = 2,477.80 : x
  2. Step 2: Convert to fraction form
    4,947.29/7,410.15 = 2,477.80/x
  3. Step 3: Cross multiply
    4,947.29x = 7,410.15 × 2,477.80
  4. Step 4: Simplify right side
    4,947.29x = 18,360,878.93
  5. Step 5: Solve for x
    x = 18,360,878.93/4,947.29
  6. Step 6: Final answer
    x = 3,711.30

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1.5x scale

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.