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Finding the Fourth Proportional to 9,675, 13,354.35 and 6,318.33

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Solution

The fourth proportional to 9,675, 13,354.35 and 6,318.33 is: 8,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 13,354.35 = 6,318.33 : x
  2. Step 2: Convert to fraction form
    9,675/13,354.35 = 6,318.33/x
  3. Step 3: Cross multiply
    9,675x = 13,354.35 × 6,318.33
  4. Step 4: Simplify right side
    9,675x = 84,377,190.24
  5. Step 5: Solve for x
    x = 84,377,190.24/9,675
  6. Step 6: Final answer
    x = 8,721.16

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1.5x scale

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.