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Finding the Fourth Proportional to 31,836, 47,754 and 17,986.08

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Solution

The fourth proportional to 31,836, 47,754 and 17,986.08 is: 26,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836 : 47,754 = 17,986.08 : x
  2. Step 2: Convert to fraction form
    31,836/47,754 = 17,986.08/x
  3. Step 3: Cross multiply
    31,836x = 47,754 × 17,986.08
  4. Step 4: Simplify right side
    31,836x = 858,907,264.32
  5. Step 5: Solve for x
    x = 858,907,264.32/31,836
  6. Step 6: Final answer
    x = 26,979.12

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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.