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Finding the Fourth Proportional to 25,658.16, 38,494.08 and 8,128.32

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Solution

The fourth proportional to 25,658.16, 38,494.08 and 8,128.32 is: 12,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.16 : 38,494.08 = 8,128.32 : x
  2. Step 2: Convert to fraction form
    25,658.16/38,494.08 = 8,128.32/x
  3. Step 3: Cross multiply
    25,658.16x = 38,494.08 × 8,128.32
  4. Step 4: Simplify right side
    25,658.16x = 312,892,200.35
  5. Step 5: Solve for x
    x = 312,892,200.35/25,658.16
  6. Step 6: Final answer
    x = 12,194.65

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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.