Home / 1,442.31-2,159.30-847.53

Finding the Fourth Proportional to 1,442.31, 2,159.30 and 847.53

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Solution

The fourth proportional to 1,442.31, 2,159.30 and 847.53 is: 1,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.31 : 2,159.30 = 847.53 : x
  2. Step 2: Convert to fraction form
    1,442.31/2,159.30 = 847.53/x
  3. Step 3: Cross multiply
    1,442.31x = 2,159.30 × 847.53
  4. Step 4: Simplify right side
    1,442.31x = 1,830,067.29
  5. Step 5: Solve for x
    x = 1,830,067.29/1,442.31
  6. Step 6: Final answer
    x = 1,268.84

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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.