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Finding the Fourth Proportional to 4,947.60, 7,364.86 and 4,873.78

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Solution

The fourth proportional to 4,947.60, 7,364.86 and 4,873.78 is: 7,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.60 : 7,364.86 = 4,873.78 : x
  2. Step 2: Convert to fraction form
    4,947.60/7,364.86 = 4,873.78/x
  3. Step 3: Cross multiply
    4,947.60x = 7,364.86 × 4,873.78
  4. Step 4: Simplify right side
    4,947.60x = 35,894,707.37
  5. Step 5: Solve for x
    x = 35,894,707.37/4,947.60
  6. Step 6: Final answer
    x = 7,254.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.