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Finding the Fourth Proportional to 25,643.40, 38,465.10 and 22,705.80

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Solution

The fourth proportional to 25,643.40, 38,465.10 and 22,705.80 is: 34,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.40 : 38,465.10 = 22,705.80 : x
  2. Step 2: Convert to fraction form
    25,643.40/38,465.10 = 22,705.80/x
  3. Step 3: Cross multiply
    25,643.40x = 38,465.10 × 22,705.80
  4. Step 4: Simplify right side
    25,643.40x = 873,380,867.58
  5. Step 5: Solve for x
    x = 873,380,867.58/25,643.40
  6. Step 6: Final answer
    x = 34,058.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.