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Finding the Fourth Proportional to 9,111.78, 13,673.43 and 5,223.78

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Solution

The fourth proportional to 9,111.78, 13,673.43 and 5,223.78 is: 7,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.78 : 13,673.43 = 5,223.78 : x
  2. Step 2: Convert to fraction form
    9,111.78/13,673.43 = 5,223.78/x
  3. Step 3: Cross multiply
    9,111.78x = 13,673.43 × 5,223.78
  4. Step 4: Simplify right side
    9,111.78x = 71,426,990.17
  5. Step 5: Solve for x
    x = 71,426,990.17/9,111.78
  6. Step 6: Final answer
    x = 7,838.97

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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.