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Finding the Fourth Proportional to 9,204, 12,700.72 and 5,225.28

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Solution

The fourth proportional to 9,204, 12,700.72 and 5,225.28 is: 7,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204 : 12,700.72 = 5,225.28 : x
  2. Step 2: Convert to fraction form
    9,204/12,700.72 = 5,225.28/x
  3. Step 3: Cross multiply
    9,204x = 12,700.72 × 5,225.28
  4. Step 4: Simplify right side
    9,204x = 66,364,818.20
  5. Step 5: Solve for x
    x = 66,364,818.20/9,204
  6. Step 6: Final answer
    x = 7,210.43

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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.