Home / 21,248.24-31,876-6,458.64

Finding the Fourth Proportional to 21,248.24, 31,876 and 6,458.64

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Solution

The fourth proportional to 21,248.24, 31,876 and 6,458.64 is: 9,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,248.24 : 31,876 = 6,458.64 : x
  2. Step 2: Convert to fraction form
    21,248.24/31,876 = 6,458.64/x
  3. Step 3: Cross multiply
    21,248.24x = 31,876 × 6,458.64
  4. Step 4: Simplify right side
    21,248.24x = 205,875,608.64
  5. Step 5: Solve for x
    x = 205,875,608.64/21,248.24
  6. Step 6: Final answer
    x = 9,689.07

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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.