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Finding the Fourth Proportional to 3,142.88, 4,713.60 and 1,412

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Solution

The fourth proportional to 3,142.88, 4,713.60 and 1,412 is: 2,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.88 : 4,713.60 = 1,412 : x
  2. Step 2: Convert to fraction form
    3,142.88/4,713.60 = 1,412/x
  3. Step 3: Cross multiply
    3,142.88x = 4,713.60 × 1,412
  4. Step 4: Simplify right side
    3,142.88x = 6,655,603.20
  5. Step 5: Solve for x
    x = 6,655,603.20/3,142.88
  6. Step 6: Final answer
    x = 2,117.68

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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.