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Finding the Fourth Proportional to 5,291.86, 7,936.09 and 1,780.91

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Solution

The fourth proportional to 5,291.86, 7,936.09 and 1,780.91 is: 2,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.86 : 7,936.09 = 1,780.91 : x
  2. Step 2: Convert to fraction form
    5,291.86/7,936.09 = 1,780.91/x
  3. Step 3: Cross multiply
    5,291.86x = 7,936.09 × 1,780.91
  4. Step 4: Simplify right side
    5,291.86x = 14,133,462.04
  5. Step 5: Solve for x
    x = 14,133,462.04/5,291.86
  6. Step 6: Final answer
    x = 2,670.79

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1.5x scale

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.