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Finding the Fourth Proportional to 25,470.18, 38,206.63 and 7,700.39

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Solution

The fourth proportional to 25,470.18, 38,206.63 and 7,700.39 is: 11,550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.18 : 38,206.63 = 7,700.39 : x
  2. Step 2: Convert to fraction form
    25,470.18/38,206.63 = 7,700.39/x
  3. Step 3: Cross multiply
    25,470.18x = 38,206.63 × 7,700.39
  4. Step 4: Simplify right side
    25,470.18x = 294,205,933.73
  5. Step 5: Solve for x
    x = 294,205,933.73/25,470.18
  6. Step 6: Final answer
    x = 11,550.99

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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.