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Finding the Fourth Proportional to 1,689.88, 2,332.74 and 1,192.90

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Solution

The fourth proportional to 1,689.88, 2,332.74 and 1,192.90 is: 1,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.88 : 2,332.74 = 1,192.90 : x
  2. Step 2: Convert to fraction form
    1,689.88/2,332.74 = 1,192.90/x
  3. Step 3: Cross multiply
    1,689.88x = 2,332.74 × 1,192.90
  4. Step 4: Simplify right side
    1,689.88x = 2,782,725.55
  5. Step 5: Solve for x
    x = 2,782,725.55/1,689.88
  6. Step 6: Final answer
    x = 1,646.70

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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.