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Finding the Fourth Proportional to 4,894.40, 7,340.70 and 3,042.20

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Solution

The fourth proportional to 4,894.40, 7,340.70 and 3,042.20 is: 4,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.40 : 7,340.70 = 3,042.20 : x
  2. Step 2: Convert to fraction form
    4,894.40/7,340.70 = 3,042.20/x
  3. Step 3: Cross multiply
    4,894.40x = 7,340.70 × 3,042.20
  4. Step 4: Simplify right side
    4,894.40x = 22,331,877.54
  5. Step 5: Solve for x
    x = 22,331,877.54/4,894.40
  6. Step 6: Final answer
    x = 4,562.74

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1.5x scale

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.