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Finding the Fourth Proportional to 9,657.56, 13,320.54 and 8,863.44

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Solution

The fourth proportional to 9,657.56, 13,320.54 and 8,863.44 is: 12,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.56 : 13,320.54 = 8,863.44 : x
  2. Step 2: Convert to fraction form
    9,657.56/13,320.54 = 8,863.44/x
  3. Step 3: Cross multiply
    9,657.56x = 13,320.54 × 8,863.44
  4. Step 4: Simplify right side
    9,657.56x = 118,065,807.06
  5. Step 5: Solve for x
    x = 118,065,807.06/9,657.56
  6. Step 6: Final answer
    x = 12,225.22

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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.