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Finding the Fourth Proportional to 8,785, 13,176.06 and 6,180.04

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Solution

The fourth proportional to 8,785, 13,176.06 and 6,180.04 is: 9,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785 : 13,176.06 = 6,180.04 : x
  2. Step 2: Convert to fraction form
    8,785/13,176.06 = 6,180.04/x
  3. Step 3: Cross multiply
    8,785x = 13,176.06 × 6,180.04
  4. Step 4: Simplify right side
    8,785x = 81,428,577.84
  5. Step 5: Solve for x
    x = 81,428,577.84/8,785
  6. Step 6: Final answer
    x = 9,269.05

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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.