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Finding the Fourth Proportional to 15,705.86, 23,566.86 and 8,684.55

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Solution

The fourth proportional to 15,705.86, 23,566.86 and 8,684.55 is: 13,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.86 : 23,566.86 = 8,684.55 : x
  2. Step 2: Convert to fraction form
    15,705.86/23,566.86 = 8,684.55/x
  3. Step 3: Cross multiply
    15,705.86x = 23,566.86 × 8,684.55
  4. Step 4: Simplify right side
    15,705.86x = 204,667,574.01
  5. Step 5: Solve for x
    x = 204,667,574.01/15,705.86
  6. Step 6: Final answer
    x = 13,031.29

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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.