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Finding the Fourth Proportional to 17,724.78, 26,572.05 and 7,858.67

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Solution

The fourth proportional to 17,724.78, 26,572.05 and 7,858.67 is: 11,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.78 : 26,572.05 = 7,858.67 : x
  2. Step 2: Convert to fraction form
    17,724.78/26,572.05 = 7,858.67/x
  3. Step 3: Cross multiply
    17,724.78x = 26,572.05 × 7,858.67
  4. Step 4: Simplify right side
    17,724.78x = 208,820,839.31
  5. Step 5: Solve for x
    x = 208,820,839.31/17,724.78
  6. Step 6: Final answer
    x = 11,781.29

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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.