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Finding the Fourth Proportional to 19,950.74, 29,927.13 and 5,159.78

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Solution

The fourth proportional to 19,950.74, 29,927.13 and 5,159.78 is: 7,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950.74 : 29,927.13 = 5,159.78 : x
  2. Step 2: Convert to fraction form
    19,950.74/29,927.13 = 5,159.78/x
  3. Step 3: Cross multiply
    19,950.74x = 29,927.13 × 5,159.78
  4. Step 4: Simplify right side
    19,950.74x = 154,417,406.83
  5. Step 5: Solve for x
    x = 154,417,406.83/19,950.74
  6. Step 6: Final answer
    x = 7,739.93

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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.