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Finding the Fourth Proportional to 2,830.77, 4,246.56 and 883.13

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Solution

The fourth proportional to 2,830.77, 4,246.56 and 883.13 is: 1,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.77 : 4,246.56 = 883.13 : x
  2. Step 2: Convert to fraction form
    2,830.77/4,246.56 = 883.13/x
  3. Step 3: Cross multiply
    2,830.77x = 4,246.56 × 883.13
  4. Step 4: Simplify right side
    2,830.77x = 3,750,264.53
  5. Step 5: Solve for x
    x = 3,750,264.53/2,830.77
  6. Step 6: Final answer
    x = 1,324.82

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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.