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Finding the Fourth Proportional to 9,785.80, 13,505.70 and 6,643

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Solution

The fourth proportional to 9,785.80, 13,505.70 and 6,643 is: 9,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.80 : 13,505.70 = 6,643 : x
  2. Step 2: Convert to fraction form
    9,785.80/13,505.70 = 6,643/x
  3. Step 3: Cross multiply
    9,785.80x = 13,505.70 × 6,643
  4. Step 4: Simplify right side
    9,785.80x = 89,718,365.10
  5. Step 5: Solve for x
    x = 89,718,365.10/9,785.80
  6. Step 6: Final answer
    x = 9,168.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.