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Finding the Fourth Proportional to 10,641.80, 15,943.26 and 7,712.84

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Solution

The fourth proportional to 10,641.80, 15,943.26 and 7,712.84 is: 11,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.80 : 15,943.26 = 7,712.84 : x
  2. Step 2: Convert to fraction form
    10,641.80/15,943.26 = 7,712.84/x
  3. Step 3: Cross multiply
    10,641.80x = 15,943.26 × 7,712.84
  4. Step 4: Simplify right side
    10,641.80x = 122,967,813.46
  5. Step 5: Solve for x
    x = 122,967,813.46/10,641.80
  6. Step 6: Final answer
    x = 11,555.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.