Home / 3,142.98-4,710-2,314.74

Finding the Fourth Proportional to 3,142.98, 4,710 and 2,314.74

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Solution

The fourth proportional to 3,142.98, 4,710 and 2,314.74 is: 3,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.98 : 4,710 = 2,314.74 : x
  2. Step 2: Convert to fraction form
    3,142.98/4,710 = 2,314.74/x
  3. Step 3: Cross multiply
    3,142.98x = 4,710 × 2,314.74
  4. Step 4: Simplify right side
    3,142.98x = 10,902,425.40
  5. Step 5: Solve for x
    x = 10,902,425.40/3,142.98
  6. Step 6: Final answer
    x = 3,468.82

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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.