Home / 2,283.17-3,423.95-821.93

Finding the Fourth Proportional to 2,283.17, 3,423.95 and 821.93

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Solution

The fourth proportional to 2,283.17, 3,423.95 and 821.93 is: 1,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.17 : 3,423.95 = 821.93 : x
  2. Step 2: Convert to fraction form
    2,283.17/3,423.95 = 821.93/x
  3. Step 3: Cross multiply
    2,283.17x = 3,423.95 × 821.93
  4. Step 4: Simplify right side
    2,283.17x = 2,814,243.11
  5. Step 5: Solve for x
    x = 2,814,243.11/2,283.17
  6. Step 6: Final answer
    x = 1,232.60

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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.