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Finding the Fourth Proportional to 20,655.62, 30,958.05 and 9,547.28

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Solution

The fourth proportional to 20,655.62, 30,958.05 and 9,547.28 is: 14,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.62 : 30,958.05 = 9,547.28 : x
  2. Step 2: Convert to fraction form
    20,655.62/30,958.05 = 9,547.28/x
  3. Step 3: Cross multiply
    20,655.62x = 30,958.05 × 9,547.28
  4. Step 4: Simplify right side
    20,655.62x = 295,565,171.60
  5. Step 5: Solve for x
    x = 295,565,171.60/20,655.62
  6. Step 6: Final answer
    x = 14,309.19

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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.