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Finding the Fourth Proportional to 17,758.53, 26,637.79 and 5,278.50

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Solution

The fourth proportional to 17,758.53, 26,637.79 and 5,278.50 is: 7,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.53 : 26,637.79 = 5,278.50 : x
  2. Step 2: Convert to fraction form
    17,758.53/26,637.79 = 5,278.50/x
  3. Step 3: Cross multiply
    17,758.53x = 26,637.79 × 5,278.50
  4. Step 4: Simplify right side
    17,758.53x = 140,607,574.52
  5. Step 5: Solve for x
    x = 140,607,574.52/17,758.53
  6. Step 6: Final answer
    x = 7,917.75

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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.