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Finding the Fourth Proportional to 8,880.36, 12,255.70 and 5,343

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Solution

The fourth proportional to 8,880.36, 12,255.70 and 5,343 is: 7,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,880.36 : 12,255.70 = 5,343 : x
  2. Step 2: Convert to fraction form
    8,880.36/12,255.70 = 5,343/x
  3. Step 3: Cross multiply
    8,880.36x = 12,255.70 × 5,343
  4. Step 4: Simplify right side
    8,880.36x = 65,482,205.10
  5. Step 5: Solve for x
    x = 65,482,205.10/8,880.36
  6. Step 6: Final answer
    x = 7,373.82

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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.