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Finding the Fourth Proportional to 17,865, 26,797.32 and 7,340.76

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Solution

The fourth proportional to 17,865, 26,797.32 and 7,340.76 is: 11,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865 : 26,797.32 = 7,340.76 : x
  2. Step 2: Convert to fraction form
    17,865/26,797.32 = 7,340.76/x
  3. Step 3: Cross multiply
    17,865x = 26,797.32 × 7,340.76
  4. Step 4: Simplify right side
    17,865x = 196,712,694.76
  5. Step 5: Solve for x
    x = 196,712,694.76/17,865
  6. Step 6: Final answer
    x = 11,011.07

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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.