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Finding the Fourth Proportional to 23,688, 35,532.18 and 8,105.76

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Solution

The fourth proportional to 23,688, 35,532.18 and 8,105.76 is: 12,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688 : 35,532.18 = 8,105.76 : x
  2. Step 2: Convert to fraction form
    23,688/35,532.18 = 8,105.76/x
  3. Step 3: Cross multiply
    23,688x = 35,532.18 × 8,105.76
  4. Step 4: Simplify right side
    23,688x = 288,015,323.36
  5. Step 5: Solve for x
    x = 288,015,323.36/23,688
  6. Step 6: Final answer
    x = 12,158.70

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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.