Home / 1,987.28-2,981.32-1,165.67

Finding the Fourth Proportional to 1,987.28, 2,981.32 and 1,165.67

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Solution

The fourth proportional to 1,987.28, 2,981.32 and 1,165.67 is: 1,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.28 : 2,981.32 = 1,165.67 : x
  2. Step 2: Convert to fraction form
    1,987.28/2,981.32 = 1,165.67/x
  3. Step 3: Cross multiply
    1,987.28x = 2,981.32 × 1,165.67
  4. Step 4: Simplify right side
    1,987.28x = 3,475,217.46
  5. Step 5: Solve for x
    x = 3,475,217.46/1,987.28
  6. Step 6: Final answer
    x = 1,748.74

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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.