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Finding the Fourth Proportional to 5,664.86, 7,815.62 and 3,425.88

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Solution

The fourth proportional to 5,664.86, 7,815.62 and 3,425.88 is: 4,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.86 : 7,815.62 = 3,425.88 : x
  2. Step 2: Convert to fraction form
    5,664.86/7,815.62 = 3,425.88/x
  3. Step 3: Cross multiply
    5,664.86x = 7,815.62 × 3,425.88
  4. Step 4: Simplify right side
    5,664.86x = 26,775,376.25
  5. Step 5: Solve for x
    x = 26,775,376.25/5,664.86
  6. Step 6: Final answer
    x = 4,726.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.