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Finding the Fourth Proportional to 1,843, 2,543.34 and 1,015

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Solution

The fourth proportional to 1,843, 2,543.34 and 1,015 is: 1,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843 : 2,543.34 = 1,015 : x
  2. Step 2: Convert to fraction form
    1,843/2,543.34 = 1,015/x
  3. Step 3: Cross multiply
    1,843x = 2,543.34 × 1,015
  4. Step 4: Simplify right side
    1,843x = 2,581,490.10
  5. Step 5: Solve for x
    x = 2,581,490.10/1,843
  6. Step 6: Final answer
    x = 1,400.70

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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.