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Finding the Fourth Proportional to 14,121.57, 19,488.68 and 7,833.95

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Solution

The fourth proportional to 14,121.57, 19,488.68 and 7,833.95 is: 10,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.57 : 19,488.68 = 7,833.95 : x
  2. Step 2: Convert to fraction form
    14,121.57/19,488.68 = 7,833.95/x
  3. Step 3: Cross multiply
    14,121.57x = 19,488.68 × 7,833.95
  4. Step 4: Simplify right side
    14,121.57x = 152,673,208.07
  5. Step 5: Solve for x
    x = 152,673,208.07/14,121.57
  6. Step 6: Final answer
    x = 10,811.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.