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Finding the Fourth Proportional to 12,590.65, 18,886.02 and 3,825.64

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Solution

The fourth proportional to 12,590.65, 18,886.02 and 3,825.64 is: 5,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.65 : 18,886.02 = 3,825.64 : x
  2. Step 2: Convert to fraction form
    12,590.65/18,886.02 = 3,825.64/x
  3. Step 3: Cross multiply
    12,590.65x = 18,886.02 × 3,825.64
  4. Step 4: Simplify right side
    12,590.65x = 72,251,113.55
  5. Step 5: Solve for x
    x = 72,251,113.55/12,590.65
  6. Step 6: Final answer
    x = 5,738.47

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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.