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Finding the Fourth Proportional to 10,112.88, 15,159 and 6,417.84

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Solution

The fourth proportional to 10,112.88, 15,159 and 6,417.84 is: 9,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.88 : 15,159 = 6,417.84 : x
  2. Step 2: Convert to fraction form
    10,112.88/15,159 = 6,417.84/x
  3. Step 3: Cross multiply
    10,112.88x = 15,159 × 6,417.84
  4. Step 4: Simplify right side
    10,112.88x = 97,288,036.56
  5. Step 5: Solve for x
    x = 97,288,036.56/10,112.88
  6. Step 6: Final answer
    x = 9,620.21

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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.