Home / 1,567.02-2,348.23-872.74

Finding the Fourth Proportional to 1,567.02, 2,348.23 and 872.74

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Solution

The fourth proportional to 1,567.02, 2,348.23 and 872.74 is: 1,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.02 : 2,348.23 = 872.74 : x
  2. Step 2: Convert to fraction form
    1,567.02/2,348.23 = 872.74/x
  3. Step 3: Cross multiply
    1,567.02x = 2,348.23 × 872.74
  4. Step 4: Simplify right side
    1,567.02x = 2,049,394.25
  5. Step 5: Solve for x
    x = 2,049,394.25/1,567.02
  6. Step 6: Final answer
    x = 1,307.83

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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.