Home / 1,916.76-2,874.23-820.53

Finding the Fourth Proportional to 1,916.76, 2,874.23 and 820.53

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Solution

The fourth proportional to 1,916.76, 2,874.23 and 820.53 is: 1,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.76 : 2,874.23 = 820.53 : x
  2. Step 2: Convert to fraction form
    1,916.76/2,874.23 = 820.53/x
  3. Step 3: Cross multiply
    1,916.76x = 2,874.23 × 820.53
  4. Step 4: Simplify right side
    1,916.76x = 2,358,373.47
  5. Step 5: Solve for x
    x = 2,358,373.47/1,916.76
  6. Step 6: Final answer
    x = 1,230.40

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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.