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Finding the Fourth Proportional to 5,277.86, 7,913.86 and 2,160.05

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Solution

The fourth proportional to 5,277.86, 7,913.86 and 2,160.05 is: 3,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.86 : 7,913.86 = 2,160.05 : x
  2. Step 2: Convert to fraction form
    5,277.86/7,913.86 = 2,160.05/x
  3. Step 3: Cross multiply
    5,277.86x = 7,913.86 × 2,160.05
  4. Step 4: Simplify right side
    5,277.86x = 17,094,333.29
  5. Step 5: Solve for x
    x = 17,094,333.29/5,277.86
  6. Step 6: Final answer
    x = 3,238.88

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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.