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Finding the Fourth Proportional to 3,978.58, 5,492.73 and 2,656.66

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Solution

The fourth proportional to 3,978.58, 5,492.73 and 2,656.66 is: 3,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.58 : 5,492.73 = 2,656.66 : x
  2. Step 2: Convert to fraction form
    3,978.58/5,492.73 = 2,656.66/x
  3. Step 3: Cross multiply
    3,978.58x = 5,492.73 × 2,656.66
  4. Step 4: Simplify right side
    3,978.58x = 14,592,316.08
  5. Step 5: Solve for x
    x = 14,592,316.08/3,978.58
  6. Step 6: Final answer
    x = 3,667.72

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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.