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Finding the Fourth Proportional to 1,767.38, 2,649.34 and 987.76

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Solution

The fourth proportional to 1,767.38, 2,649.34 and 987.76 is: 1,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.38 : 2,649.34 = 987.76 : x
  2. Step 2: Convert to fraction form
    1,767.38/2,649.34 = 987.76/x
  3. Step 3: Cross multiply
    1,767.38x = 2,649.34 × 987.76
  4. Step 4: Simplify right side
    1,767.38x = 2,616,912.08
  5. Step 5: Solve for x
    x = 2,616,912.08/1,767.38
  6. Step 6: Final answer
    x = 1,480.67

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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.