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Finding the Fourth Proportional to 1,187.70, 1,782.46 and 1,126.72

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Solution

The fourth proportional to 1,187.70, 1,782.46 and 1,126.72 is: 1,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.70 : 1,782.46 = 1,126.72 : x
  2. Step 2: Convert to fraction form
    1,187.70/1,782.46 = 1,126.72/x
  3. Step 3: Cross multiply
    1,187.70x = 1,782.46 × 1,126.72
  4. Step 4: Simplify right side
    1,187.70x = 2,008,332.74
  5. Step 5: Solve for x
    x = 2,008,332.74/1,187.70
  6. Step 6: Final answer
    x = 1,690.95

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1.5x scale

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.