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Finding the Fourth Proportional to 10,961, 15,139.14 and 7,418.06

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Solution

The fourth proportional to 10,961, 15,139.14 and 7,418.06 is: 10,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961 : 15,139.14 = 7,418.06 : x
  2. Step 2: Convert to fraction form
    10,961/15,139.14 = 7,418.06/x
  3. Step 3: Cross multiply
    10,961x = 15,139.14 × 7,418.06
  4. Step 4: Simplify right side
    10,961x = 112,303,048.87
  5. Step 5: Solve for x
    x = 112,303,048.87/10,961
  6. Step 6: Final answer
    x = 10,245.69

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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.