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Finding the Fourth Proportional to 20,335.40, 30,491.06 and 6,291.28

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Solution

The fourth proportional to 20,335.40, 30,491.06 and 6,291.28 is: 9,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.40 : 30,491.06 = 6,291.28 : x
  2. Step 2: Convert to fraction form
    20,335.40/30,491.06 = 6,291.28/x
  3. Step 3: Cross multiply
    20,335.40x = 30,491.06 × 6,291.28
  4. Step 4: Simplify right side
    20,335.40x = 191,827,795.96
  5. Step 5: Solve for x
    x = 191,827,795.96/20,335.40
  6. Step 6: Final answer
    x = 9,433.20

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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.