Home / 1,432.17-2,146.23-847.31

Finding the Fourth Proportional to 1,432.17, 2,146.23 and 847.31

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Solution

The fourth proportional to 1,432.17, 2,146.23 and 847.31 is: 1,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.17 : 2,146.23 = 847.31 : x
  2. Step 2: Convert to fraction form
    1,432.17/2,146.23 = 847.31/x
  3. Step 3: Cross multiply
    1,432.17x = 2,146.23 × 847.31
  4. Step 4: Simplify right side
    1,432.17x = 1,818,511.41
  5. Step 5: Solve for x
    x = 1,818,511.41/1,432.17
  6. Step 6: Final answer
    x = 1,269.76

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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.