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Finding the Fourth Proportional to 15,808.78, 23,706.23 and 8,411.48

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Solution

The fourth proportional to 15,808.78, 23,706.23 and 8,411.48 is: 12,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.78 : 23,706.23 = 8,411.48 : x
  2. Step 2: Convert to fraction form
    15,808.78/23,706.23 = 8,411.48/x
  3. Step 3: Cross multiply
    15,808.78x = 23,706.23 × 8,411.48
  4. Step 4: Simplify right side
    15,808.78x = 199,404,513.76
  5. Step 5: Solve for x
    x = 199,404,513.76/15,808.78
  6. Step 6: Final answer
    x = 12,613.53

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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.