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Finding the Fourth Proportional to 8,838.64, 13,255.12 and 8,256.25

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Solution

The fourth proportional to 8,838.64, 13,255.12 and 8,256.25 is: 12,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.64 : 13,255.12 = 8,256.25 : x
  2. Step 2: Convert to fraction form
    8,838.64/13,255.12 = 8,256.25/x
  3. Step 3: Cross multiply
    8,838.64x = 13,255.12 × 8,256.25
  4. Step 4: Simplify right side
    8,838.64x = 109,437,584.50
  5. Step 5: Solve for x
    x = 109,437,584.50/8,838.64
  6. Step 6: Final answer
    x = 12,381.72

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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.