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Finding the Fourth Proportional to 11,097.71, 15,288.78 and 7,734.41

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Solution

The fourth proportional to 11,097.71, 15,288.78 and 7,734.41 is: 10,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.71 : 15,288.78 = 7,734.41 : x
  2. Step 2: Convert to fraction form
    11,097.71/15,288.78 = 7,734.41/x
  3. Step 3: Cross multiply
    11,097.71x = 15,288.78 × 7,734.41
  4. Step 4: Simplify right side
    11,097.71x = 118,249,692.92
  5. Step 5: Solve for x
    x = 118,249,692.92/11,097.71
  6. Step 6: Final answer
    x = 10,655.32

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Why These Related Problems?

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