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Finding the Fourth Proportional to 31,870.44, 43,978.80 and 17,722.08

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Solution

The fourth proportional to 31,870.44, 43,978.80 and 17,722.08 is: 24,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.44 : 43,978.80 = 17,722.08 : x
  2. Step 2: Convert to fraction form
    31,870.44/43,978.80 = 17,722.08/x
  3. Step 3: Cross multiply
    31,870.44x = 43,978.80 × 17,722.08
  4. Step 4: Simplify right side
    31,870.44x = 779,395,811.90
  5. Step 5: Solve for x
    x = 779,395,811.90/31,870.44
  6. Step 6: Final answer
    x = 24,455.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.