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Finding the Fourth Proportional to 7,265.66, 10,897.17 and 1,928.87

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Solution

The fourth proportional to 7,265.66, 10,897.17 and 1,928.87 is: 2,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.66 : 10,897.17 = 1,928.87 : x
  2. Step 2: Convert to fraction form
    7,265.66/10,897.17 = 1,928.87/x
  3. Step 3: Cross multiply
    7,265.66x = 10,897.17 × 1,928.87
  4. Step 4: Simplify right side
    7,265.66x = 21,019,169.81
  5. Step 5: Solve for x
    x = 21,019,169.81/7,265.66
  6. Step 6: Final answer
    x = 2,892.95

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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.