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Finding the Fourth Proportional to 2,143.60, 3,215.13 and 1,047.40

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Solution

The fourth proportional to 2,143.60, 3,215.13 and 1,047.40 is: 1,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.60 : 3,215.13 = 1,047.40 : x
  2. Step 2: Convert to fraction form
    2,143.60/3,215.13 = 1,047.40/x
  3. Step 3: Cross multiply
    2,143.60x = 3,215.13 × 1,047.40
  4. Step 4: Simplify right side
    2,143.60x = 3,367,527.16
  5. Step 5: Solve for x
    x = 3,367,527.16/2,143.60
  6. Step 6: Final answer
    x = 1,570.97

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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.