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Finding the Fourth Proportional to 21,258, 31,891.56 and 6,468.12

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Solution

The fourth proportional to 21,258, 31,891.56 and 6,468.12 is: 9,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258 : 31,891.56 = 6,468.12 : x
  2. Step 2: Convert to fraction form
    21,258/31,891.56 = 6,468.12/x
  3. Step 3: Cross multiply
    21,258x = 31,891.56 × 6,468.12
  4. Step 4: Simplify right side
    21,258x = 206,278,437.07
  5. Step 5: Solve for x
    x = 206,278,437.07/21,258
  6. Step 6: Final answer
    x = 9,703.57

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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.