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Finding the Fourth Proportional to 2,142.48, 2,958 and 1,471.40

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Solution

The fourth proportional to 2,142.48, 2,958 and 1,471.40 is: 2,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.48 : 2,958 = 1,471.40 : x
  2. Step 2: Convert to fraction form
    2,142.48/2,958 = 1,471.40/x
  3. Step 3: Cross multiply
    2,142.48x = 2,958 × 1,471.40
  4. Step 4: Simplify right side
    2,142.48x = 4,352,401.20
  5. Step 5: Solve for x
    x = 4,352,401.20/2,142.48
  6. Step 6: Final answer
    x = 2,031.48

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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.