Home / 1,838.66-2,758.38-972.76

Finding the Fourth Proportional to 1,838.66, 2,758.38 and 972.76

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Solution

The fourth proportional to 1,838.66, 2,758.38 and 972.76 is: 1,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.66 : 2,758.38 = 972.76 : x
  2. Step 2: Convert to fraction form
    1,838.66/2,758.38 = 972.76/x
  3. Step 3: Cross multiply
    1,838.66x = 2,758.38 × 972.76
  4. Step 4: Simplify right side
    1,838.66x = 2,683,241.73
  5. Step 5: Solve for x
    x = 2,683,241.73/1,838.66
  6. Step 6: Final answer
    x = 1,459.35

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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.