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Finding the Fourth Proportional to 4,460, 6,690.38 and 1,382

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Solution

The fourth proportional to 4,460, 6,690.38 and 1,382 is: 2,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460 : 6,690.38 = 1,382 : x
  2. Step 2: Convert to fraction form
    4,460/6,690.38 = 1,382/x
  3. Step 3: Cross multiply
    4,460x = 6,690.38 × 1,382
  4. Step 4: Simplify right side
    4,460x = 9,246,105.16
  5. Step 5: Solve for x
    x = 9,246,105.16/4,460
  6. Step 6: Final answer
    x = 2,073.12

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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.