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Finding the Fourth Proportional to 25,541.60, 38,313.84 and 7,772.84

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Solution

The fourth proportional to 25,541.60, 38,313.84 and 7,772.84 is: 11,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541.60 : 38,313.84 = 7,772.84 : x
  2. Step 2: Convert to fraction form
    25,541.60/38,313.84 = 7,772.84/x
  3. Step 3: Cross multiply
    25,541.60x = 38,313.84 × 7,772.84
  4. Step 4: Simplify right side
    25,541.60x = 297,807,269.63
  5. Step 5: Solve for x
    x = 297,807,269.63/25,541.60
  6. Step 6: Final answer
    x = 11,659.70

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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.