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Finding the Fourth Proportional to 11,678.56, 17,522.70 and 7,007.56

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Solution

The fourth proportional to 11,678.56, 17,522.70 and 7,007.56 is: 10,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.56 : 17,522.70 = 7,007.56 : x
  2. Step 2: Convert to fraction form
    11,678.56/17,522.70 = 7,007.56/x
  3. Step 3: Cross multiply
    11,678.56x = 17,522.70 × 7,007.56
  4. Step 4: Simplify right side
    11,678.56x = 122,791,371.61
  5. Step 5: Solve for x
    x = 122,791,371.61/11,678.56
  6. Step 6: Final answer
    x = 10,514.26

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1.5x scale

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.