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Finding the Fourth Proportional to 9,112, 13,666.78 and 3,561.48

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Solution

The fourth proportional to 9,112, 13,666.78 and 3,561.48 is: 5,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112 : 13,666.78 = 3,561.48 : x
  2. Step 2: Convert to fraction form
    9,112/13,666.78 = 3,561.48/x
  3. Step 3: Cross multiply
    9,112x = 13,666.78 × 3,561.48
  4. Step 4: Simplify right side
    9,112x = 48,673,963.63
  5. Step 5: Solve for x
    x = 48,673,963.63/9,112
  6. Step 6: Final answer
    x = 5,341.74

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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.