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Finding the Fourth Proportional to 8,816.64, 13,230.72 and 4,200

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Solution

The fourth proportional to 8,816.64, 13,230.72 and 4,200 is: 6,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.64 : 13,230.72 = 4,200 : x
  2. Step 2: Convert to fraction form
    8,816.64/13,230.72 = 4,200/x
  3. Step 3: Cross multiply
    8,816.64x = 13,230.72 × 4,200
  4. Step 4: Simplify right side
    8,816.64x = 55,569,024
  5. Step 5: Solve for x
    x = 55,569,024/8,816.64
  6. Step 6: Final answer
    x = 6,302.74

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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.