Home / 1,188.02-1,782.05-1,123.76

Finding the Fourth Proportional to 1,188.02, 1,782.05 and 1,123.76

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Solution

The fourth proportional to 1,188.02, 1,782.05 and 1,123.76 is: 1,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.02 : 1,782.05 = 1,123.76 : x
  2. Step 2: Convert to fraction form
    1,188.02/1,782.05 = 1,123.76/x
  3. Step 3: Cross multiply
    1,188.02x = 1,782.05 × 1,123.76
  4. Step 4: Simplify right side
    1,188.02x = 2,002,581.98
  5. Step 5: Solve for x
    x = 2,002,581.98/1,188.02
  6. Step 6: Final answer
    x = 1,685.65

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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.