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Finding the Fourth Proportional to 6,274.60, 9,412.80 and 2,113.90

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Solution

The fourth proportional to 6,274.60, 9,412.80 and 2,113.90 is: 3,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.60 : 9,412.80 = 2,113.90 : x
  2. Step 2: Convert to fraction form
    6,274.60/9,412.80 = 2,113.90/x
  3. Step 3: Cross multiply
    6,274.60x = 9,412.80 × 2,113.90
  4. Step 4: Simplify right side
    6,274.60x = 19,897,717.92
  5. Step 5: Solve for x
    x = 19,897,717.92/6,274.60
  6. Step 6: Final answer
    x = 3,171.15

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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.