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Finding the Fourth Proportional to 2,689.52, 3,711.72 and 1,642.16

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Solution

The fourth proportional to 2,689.52, 3,711.72 and 1,642.16 is: 2,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.52 : 3,711.72 = 1,642.16 : x
  2. Step 2: Convert to fraction form
    2,689.52/3,711.72 = 1,642.16/x
  3. Step 3: Cross multiply
    2,689.52x = 3,711.72 × 1,642.16
  4. Step 4: Simplify right side
    2,689.52x = 6,095,238.12
  5. Step 5: Solve for x
    x = 6,095,238.12/2,689.52
  6. Step 6: Final answer
    x = 2,266.29

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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.