Home / 1,567.59-2,352.60-837.78

Finding the Fourth Proportional to 1,567.59, 2,352.60 and 837.78

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Solution

The fourth proportional to 1,567.59, 2,352.60 and 837.78 is: 1,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.59 : 2,352.60 = 837.78 : x
  2. Step 2: Convert to fraction form
    1,567.59/2,352.60 = 837.78/x
  3. Step 3: Cross multiply
    1,567.59x = 2,352.60 × 837.78
  4. Step 4: Simplify right side
    1,567.59x = 1,970,961.23
  5. Step 5: Solve for x
    x = 1,970,961.23/1,567.59
  6. Step 6: Final answer
    x = 1,257.32

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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.