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Finding the Fourth Proportional to 11,260, 15,542.45 and 7,068.25

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Solution

The fourth proportional to 11,260, 15,542.45 and 7,068.25 is: 9,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260 : 15,542.45 = 7,068.25 : x
  2. Step 2: Convert to fraction form
    11,260/15,542.45 = 7,068.25/x
  3. Step 3: Cross multiply
    11,260x = 15,542.45 × 7,068.25
  4. Step 4: Simplify right side
    11,260x = 109,857,922.21
  5. Step 5: Solve for x
    x = 109,857,922.21/11,260
  6. Step 6: Final answer
    x = 9,756.48

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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.