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Finding the Fourth Proportional to 8,187.53, 12,270.32 and 7,662.65

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Solution

The fourth proportional to 8,187.53, 12,270.32 and 7,662.65 is: 11,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.53 : 12,270.32 = 7,662.65 : x
  2. Step 2: Convert to fraction form
    8,187.53/12,270.32 = 7,662.65/x
  3. Step 3: Cross multiply
    8,187.53x = 12,270.32 × 7,662.65
  4. Step 4: Simplify right side
    8,187.53x = 94,023,129.23
  5. Step 5: Solve for x
    x = 94,023,129.23/8,187.53
  6. Step 6: Final answer
    x = 11,483.70

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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.