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Finding the Fourth Proportional to 5,287.94, 7,932.61 and 1,955.74

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Solution

The fourth proportional to 5,287.94, 7,932.61 and 1,955.74 is: 2,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.94 : 7,932.61 = 1,955.74 : x
  2. Step 2: Convert to fraction form
    5,287.94/7,932.61 = 1,955.74/x
  3. Step 3: Cross multiply
    5,287.94x = 7,932.61 × 1,955.74
  4. Step 4: Simplify right side
    5,287.94x = 15,514,105.29
  5. Step 5: Solve for x
    x = 15,514,105.29/5,287.94
  6. Step 6: Final answer
    x = 2,933.86

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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.