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Finding the Fourth Proportional to 11,112, 15,318.72 and 7,570.68

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Solution

The fourth proportional to 11,112, 15,318.72 and 7,570.68 is: 10,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112 : 15,318.72 = 7,570.68 : x
  2. Step 2: Convert to fraction form
    11,112/15,318.72 = 7,570.68/x
  3. Step 3: Cross multiply
    11,112x = 15,318.72 × 7,570.68
  4. Step 4: Simplify right side
    11,112x = 115,973,127.13
  5. Step 5: Solve for x
    x = 115,973,127.13/11,112
  6. Step 6: Final answer
    x = 10,436.75

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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.