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Finding the Fourth Proportional to 19,978.19, 27,568.95 and 11,474.31

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Solution

The fourth proportional to 19,978.19, 27,568.95 and 11,474.31 is: 15,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.19 : 27,568.95 = 11,474.31 : x
  2. Step 2: Convert to fraction form
    19,978.19/27,568.95 = 11,474.31/x
  3. Step 3: Cross multiply
    19,978.19x = 27,568.95 × 11,474.31
  4. Step 4: Simplify right side
    19,978.19x = 316,334,678.67
  5. Step 5: Solve for x
    x = 316,334,678.67/19,978.19
  6. Step 6: Final answer
    x = 15,834.00

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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.