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Finding the Fourth Proportional to 7,863.60, 10,851.80 and 4,506.49

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Solution

The fourth proportional to 7,863.60, 10,851.80 and 4,506.49 is: 6,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.60 : 10,851.80 = 4,506.49 : x
  2. Step 2: Convert to fraction form
    7,863.60/10,851.80 = 4,506.49/x
  3. Step 3: Cross multiply
    7,863.60x = 10,851.80 × 4,506.49
  4. Step 4: Simplify right side
    7,863.60x = 48,903,528.18
  5. Step 5: Solve for x
    x = 48,903,528.18/7,863.60
  6. Step 6: Final answer
    x = 6,218.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.