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Finding the Fourth Proportional to 9,657.76, 13,320.83 and 8,863.66

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Solution

The fourth proportional to 9,657.76, 13,320.83 and 8,863.66 is: 12,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.76 : 13,320.83 = 8,863.66 : x
  2. Step 2: Convert to fraction form
    9,657.76/13,320.83 = 8,863.66/x
  3. Step 3: Cross multiply
    9,657.76x = 13,320.83 × 8,863.66
  4. Step 4: Simplify right side
    9,657.76x = 118,071,308.04
  5. Step 5: Solve for x
    x = 118,071,308.04/9,657.76
  6. Step 6: Final answer
    x = 12,225.54

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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.