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Finding the Fourth Proportional to 20,507.96, 30,747.36 and 9,822.08

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Solution

The fourth proportional to 20,507.96, 30,747.36 and 9,822.08 is: 14,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.96 : 30,747.36 = 9,822.08 : x
  2. Step 2: Convert to fraction form
    20,507.96/30,747.36 = 9,822.08/x
  3. Step 3: Cross multiply
    20,507.96x = 30,747.36 × 9,822.08
  4. Step 4: Simplify right side
    20,507.96x = 302,003,029.71
  5. Step 5: Solve for x
    x = 302,003,029.71/20,507.96
  6. Step 6: Final answer
    x = 14,726.14

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1.5x scale

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.