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Finding the Fourth Proportional to 8,857.53, 12,223.42 and 5,320.80

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Solution

The fourth proportional to 8,857.53, 12,223.42 and 5,320.80 is: 7,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.53 : 12,223.42 = 5,320.80 : x
  2. Step 2: Convert to fraction form
    8,857.53/12,223.42 = 5,320.80/x
  3. Step 3: Cross multiply
    8,857.53x = 12,223.42 × 5,320.80
  4. Step 4: Simplify right side
    8,857.53x = 65,038,373.14
  5. Step 5: Solve for x
    x = 65,038,373.14/8,857.53
  6. Step 6: Final answer
    x = 7,342.72

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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.