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Finding the Fourth Proportional to 15,823.44, 23,727.06 and 8,429.76

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Solution

The fourth proportional to 15,823.44, 23,727.06 and 8,429.76 is: 12,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.44 : 23,727.06 = 8,429.76 : x
  2. Step 2: Convert to fraction form
    15,823.44/23,727.06 = 8,429.76/x
  3. Step 3: Cross multiply
    15,823.44x = 23,727.06 × 8,429.76
  4. Step 4: Simplify right side
    15,823.44x = 200,013,421.31
  5. Step 5: Solve for x
    x = 200,013,421.31/15,823.44
  6. Step 6: Final answer
    x = 12,640.32

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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.