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Finding the Fourth Proportional to 15,822.72, 21,832.08 and 9,108.48

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Solution

The fourth proportional to 15,822.72, 21,832.08 and 9,108.48 is: 12,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.72 : 21,832.08 = 9,108.48 : x
  2. Step 2: Convert to fraction form
    15,822.72/21,832.08 = 9,108.48/x
  3. Step 3: Cross multiply
    15,822.72x = 21,832.08 × 9,108.48
  4. Step 4: Simplify right side
    15,822.72x = 198,857,064.04
  5. Step 5: Solve for x
    x = 198,857,064.04/15,822.72
  6. Step 6: Final answer
    x = 12,567.82

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1.5x scale

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.