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Finding the Fourth Proportional to 25,695.60, 38,543.40 and 9,074.40

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Solution

The fourth proportional to 25,695.60, 38,543.40 and 9,074.40 is: 13,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.60 : 38,543.40 = 9,074.40 : x
  2. Step 2: Convert to fraction form
    25,695.60/38,543.40 = 9,074.40/x
  3. Step 3: Cross multiply
    25,695.60x = 38,543.40 × 9,074.40
  4. Step 4: Simplify right side
    25,695.60x = 349,758,228.96
  5. Step 5: Solve for x
    x = 349,758,228.96/25,695.60
  6. Step 6: Final answer
    x = 13,611.60

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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.