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Finding the Fourth Proportional to 5,311.76, 7,955.30 and 5,127.26

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Solution

The fourth proportional to 5,311.76, 7,955.30 and 5,127.26 is: 7,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.76 : 7,955.30 = 5,127.26 : x
  2. Step 2: Convert to fraction form
    5,311.76/7,955.30 = 5,127.26/x
  3. Step 3: Cross multiply
    5,311.76x = 7,955.30 × 5,127.26
  4. Step 4: Simplify right side
    5,311.76x = 40,788,864.52
  5. Step 5: Solve for x
    x = 40,788,864.52/5,311.76
  6. Step 6: Final answer
    x = 7,678.98

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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.