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Finding the Fourth Proportional to 8,073.54, 12,111.05 and 3,143.54

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Solution

The fourth proportional to 8,073.54, 12,111.05 and 3,143.54 is: 4,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.54 : 12,111.05 = 3,143.54 : x
  2. Step 2: Convert to fraction form
    8,073.54/12,111.05 = 3,143.54/x
  3. Step 3: Cross multiply
    8,073.54x = 12,111.05 × 3,143.54
  4. Step 4: Simplify right side
    8,073.54x = 38,071,608.25
  5. Step 5: Solve for x
    x = 38,071,608.25/8,073.54
  6. Step 6: Final answer
    x = 4,715.60

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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.