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Finding the Fourth Proportional to 9,108.96, 13,678.80 and 8,641.32

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Solution

The fourth proportional to 9,108.96, 13,678.80 and 8,641.32 is: 12,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.96 : 13,678.80 = 8,641.32 : x
  2. Step 2: Convert to fraction form
    9,108.96/13,678.80 = 8,641.32/x
  3. Step 3: Cross multiply
    9,108.96x = 13,678.80 × 8,641.32
  4. Step 4: Simplify right side
    9,108.96x = 118,202,888.02
  5. Step 5: Solve for x
    x = 118,202,888.02/9,108.96
  6. Step 6: Final answer
    x = 12,976.55

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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.