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Finding the Fourth Proportional to 5,288.97, 7,934.13 and 1,777.47

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Solution

The fourth proportional to 5,288.97, 7,934.13 and 1,777.47 is: 2,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.97 : 7,934.13 = 1,777.47 : x
  2. Step 2: Convert to fraction form
    5,288.97/7,934.13 = 1,777.47/x
  3. Step 3: Cross multiply
    5,288.97x = 7,934.13 × 1,777.47
  4. Step 4: Simplify right side
    5,288.97x = 14,102,678.05
  5. Step 5: Solve for x
    x = 14,102,678.05/5,288.97
  6. Step 6: Final answer
    x = 2,666.43

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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.