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Finding the Fourth Proportional to 31,069.80, 42,878.34 and 18,492.84

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Solution

The fourth proportional to 31,069.80, 42,878.34 and 18,492.84 is: 25,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.80 : 42,878.34 = 18,492.84 : x
  2. Step 2: Convert to fraction form
    31,069.80/42,878.34 = 18,492.84/x
  3. Step 3: Cross multiply
    31,069.80x = 42,878.34 × 18,492.84
  4. Step 4: Simplify right side
    31,069.80x = 792,942,281.09
  5. Step 5: Solve for x
    x = 792,942,281.09/31,069.80
  6. Step 6: Final answer
    x = 25,521.32

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