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Finding the Fourth Proportional to 2,959.47, 4,437.47 and 1,205.31

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Solution

The fourth proportional to 2,959.47, 4,437.47 and 1,205.31 is: 1,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.47 : 4,437.47 = 1,205.31 : x
  2. Step 2: Convert to fraction form
    2,959.47/4,437.47 = 1,205.31/x
  3. Step 3: Cross multiply
    2,959.47x = 4,437.47 × 1,205.31
  4. Step 4: Simplify right side
    2,959.47x = 5,348,526.97
  5. Step 5: Solve for x
    x = 5,348,526.97/2,959.47
  6. Step 6: Final answer
    x = 1,807.26

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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.