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Finding the Fourth Proportional to 1,651.49, 2,278.92 and 988.10

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Solution

The fourth proportional to 1,651.49, 2,278.92 and 988.10 is: 1,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.49 : 2,278.92 = 988.10 : x
  2. Step 2: Convert to fraction form
    1,651.49/2,278.92 = 988.10/x
  3. Step 3: Cross multiply
    1,651.49x = 2,278.92 × 988.10
  4. Step 4: Simplify right side
    1,651.49x = 2,251,784.52
  5. Step 5: Solve for x
    x = 2,251,784.52/1,651.49
  6. Step 6: Final answer
    x = 1,363.49

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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.