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Finding the Fourth Proportional to 7,854.60, 11,772.30 and 3,467.40

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Solution

The fourth proportional to 7,854.60, 11,772.30 and 3,467.40 is: 5,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.60 : 11,772.30 = 3,467.40 : x
  2. Step 2: Convert to fraction form
    7,854.60/11,772.30 = 3,467.40/x
  3. Step 3: Cross multiply
    7,854.60x = 11,772.30 × 3,467.40
  4. Step 4: Simplify right side
    7,854.60x = 40,819,273.02
  5. Step 5: Solve for x
    x = 40,819,273.02/7,854.60
  6. Step 6: Final answer
    x = 5,196.86

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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.