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Finding the Fourth Proportional to 21,264.80, 31,898.80 and 5,682.08

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Solution

The fourth proportional to 21,264.80, 31,898.80 and 5,682.08 is: 8,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.80 : 31,898.80 = 5,682.08 : x
  2. Step 2: Convert to fraction form
    21,264.80/31,898.80 = 5,682.08/x
  3. Step 3: Cross multiply
    21,264.80x = 31,898.80 × 5,682.08
  4. Step 4: Simplify right side
    21,264.80x = 181,251,533.50
  5. Step 5: Solve for x
    x = 181,251,533.50/21,264.80
  6. Step 6: Final answer
    x = 8,523.55

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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.