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Finding the Fourth Proportional to 9,052, 12,489.60 and 5,272.84

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Solution

The fourth proportional to 9,052, 12,489.60 and 5,272.84 is: 7,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052 : 12,489.60 = 5,272.84 : x
  2. Step 2: Convert to fraction form
    9,052/12,489.60 = 5,272.84/x
  3. Step 3: Cross multiply
    9,052x = 12,489.60 × 5,272.84
  4. Step 4: Simplify right side
    9,052x = 65,855,662.46
  5. Step 5: Solve for x
    x = 65,855,662.46/9,052
  6. Step 6: Final answer
    x = 7,275.26

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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.