Home / 1,655.31-2,284.26-947.11

Finding the Fourth Proportional to 1,655.31, 2,284.26 and 947.11

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Solution

The fourth proportional to 1,655.31, 2,284.26 and 947.11 is: 1,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.31 : 2,284.26 = 947.11 : x
  2. Step 2: Convert to fraction form
    1,655.31/2,284.26 = 947.11/x
  3. Step 3: Cross multiply
    1,655.31x = 2,284.26 × 947.11
  4. Step 4: Simplify right side
    1,655.31x = 2,163,445.49
  5. Step 5: Solve for x
    x = 2,163,445.49/1,655.31
  6. Step 6: Final answer
    x = 1,306.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.