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Finding the Fourth Proportional to 8,223.02, 12,256.35 and 7,755.95

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Solution

The fourth proportional to 8,223.02, 12,256.35 and 7,755.95 is: 11,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.02 : 12,256.35 = 7,755.95 : x
  2. Step 2: Convert to fraction form
    8,223.02/12,256.35 = 7,755.95/x
  3. Step 3: Cross multiply
    8,223.02x = 12,256.35 × 7,755.95
  4. Step 4: Simplify right side
    8,223.02x = 95,059,576.50
  5. Step 5: Solve for x
    x = 95,059,576.50/8,223.02
  6. Step 6: Final answer
    x = 11,560.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.