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Finding the Fourth Proportional to 15,813.12, 21,822.08 and 8,739.53

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Solution

The fourth proportional to 15,813.12, 21,822.08 and 8,739.53 is: 12,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.12 : 21,822.08 = 8,739.53 : x
  2. Step 2: Convert to fraction form
    15,813.12/21,822.08 = 8,739.53/x
  3. Step 3: Cross multiply
    15,813.12x = 21,822.08 × 8,739.53
  4. Step 4: Simplify right side
    15,813.12x = 190,714,651.85
  5. Step 5: Solve for x
    x = 190,714,651.85/15,813.12
  6. Step 6: Final answer
    x = 12,060.53

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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.