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Finding the Fourth Proportional to 15,730.92, 21,703.78 and 8,923.82

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Solution

The fourth proportional to 15,730.92, 21,703.78 and 8,923.82 is: 12,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.92 : 21,703.78 = 8,923.82 : x
  2. Step 2: Convert to fraction form
    15,730.92/21,703.78 = 8,923.82/x
  3. Step 3: Cross multiply
    15,730.92x = 21,703.78 × 8,923.82
  4. Step 4: Simplify right side
    15,730.92x = 193,680,626.04
  5. Step 5: Solve for x
    x = 193,680,626.04/15,730.92
  6. Step 6: Final answer
    x = 12,312.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.