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Finding the Fourth Proportional to 8,117.40, 12,187.05 and 5,201.40

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Solution

The fourth proportional to 8,117.40, 12,187.05 and 5,201.40 is: 7,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.40 : 12,187.05 = 5,201.40 : x
  2. Step 2: Convert to fraction form
    8,117.40/12,187.05 = 5,201.40/x
  3. Step 3: Cross multiply
    8,117.40x = 12,187.05 × 5,201.40
  4. Step 4: Simplify right side
    8,117.40x = 63,389,721.87
  5. Step 5: Solve for x
    x = 63,389,721.87/8,117.40
  6. Step 6: Final answer
    x = 7,809.12

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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.