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Finding the Fourth Proportional to 2,877.46, 3,965.79 and 2,478.10

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Solution

The fourth proportional to 2,877.46, 3,965.79 and 2,478.10 is: 3,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.46 : 3,965.79 = 2,478.10 : x
  2. Step 2: Convert to fraction form
    2,877.46/3,965.79 = 2,478.10/x
  3. Step 3: Cross multiply
    2,877.46x = 3,965.79 × 2,478.10
  4. Step 4: Simplify right side
    2,877.46x = 9,827,624.20
  5. Step 5: Solve for x
    x = 9,827,624.20/2,877.46
  6. Step 6: Final answer
    x = 3,415.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.