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Finding the Fourth Proportional to 8,530.97, 12,788.65 and 7,223.15

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Solution

The fourth proportional to 8,530.97, 12,788.65 and 7,223.15 is: 10,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.97 : 12,788.65 = 7,223.15 : x
  2. Step 2: Convert to fraction form
    8,530.97/12,788.65 = 7,223.15/x
  3. Step 3: Cross multiply
    8,530.97x = 12,788.65 × 7,223.15
  4. Step 4: Simplify right side
    8,530.97x = 92,374,273.30
  5. Step 5: Solve for x
    x = 92,374,273.30/8,530.97
  6. Step 6: Final answer
    x = 10,828.12

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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.