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Finding the Fourth Proportional to 15,782.32, 23,675.82 and 7,470.40

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Solution

The fourth proportional to 15,782.32, 23,675.82 and 7,470.40 is: 11,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.32 : 23,675.82 = 7,470.40 : x
  2. Step 2: Convert to fraction form
    15,782.32/23,675.82 = 7,470.40/x
  3. Step 3: Cross multiply
    15,782.32x = 23,675.82 × 7,470.40
  4. Step 4: Simplify right side
    15,782.32x = 176,867,845.73
  5. Step 5: Solve for x
    x = 176,867,845.73/15,782.32
  6. Step 6: Final answer
    x = 11,206.71

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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.