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Finding the Fourth Proportional to 2,282, 3,165.98 and 2,260.40

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Solution

The fourth proportional to 2,282, 3,165.98 and 2,260.40 is: 3,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282 : 3,165.98 = 2,260.40 : x
  2. Step 2: Convert to fraction form
    2,282/3,165.98 = 2,260.40/x
  3. Step 3: Cross multiply
    2,282x = 3,165.98 × 2,260.40
  4. Step 4: Simplify right side
    2,282x = 7,156,381.19
  5. Step 5: Solve for x
    x = 7,156,381.19/2,282
  6. Step 6: Final answer
    x = 3,136.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.