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Finding the Fourth Proportional to 2,891.78, 4,337.70 and 2,318.30

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Solution

The fourth proportional to 2,891.78, 4,337.70 and 2,318.30 is: 3,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.78 : 4,337.70 = 2,318.30 : x
  2. Step 2: Convert to fraction form
    2,891.78/4,337.70 = 2,318.30/x
  3. Step 3: Cross multiply
    2,891.78x = 4,337.70 × 2,318.30
  4. Step 4: Simplify right side
    2,891.78x = 10,056,089.91
  5. Step 5: Solve for x
    x = 10,056,089.91/2,891.78
  6. Step 6: Final answer
    x = 3,477.47

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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.