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Finding the Fourth Proportional to 8,400.64, 12,601.20 and 2,854

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Solution

The fourth proportional to 8,400.64, 12,601.20 and 2,854 is: 4,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.64 : 12,601.20 = 2,854 : x
  2. Step 2: Convert to fraction form
    8,400.64/12,601.20 = 2,854/x
  3. Step 3: Cross multiply
    8,400.64x = 12,601.20 × 2,854
  4. Step 4: Simplify right side
    8,400.64x = 35,963,824.80
  5. Step 5: Solve for x
    x = 35,963,824.80/8,400.64
  6. Step 6: Final answer
    x = 4,281.08

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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.