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Finding the Fourth Proportional to 20,356.30, 30,548.88 and 9,264.41

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Solution

The fourth proportional to 20,356.30, 30,548.88 and 9,264.41 is: 13,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.30 : 30,548.88 = 9,264.41 : x
  2. Step 2: Convert to fraction form
    20,356.30/30,548.88 = 9,264.41/x
  3. Step 3: Cross multiply
    20,356.30x = 30,548.88 × 9,264.41
  4. Step 4: Simplify right side
    20,356.30x = 283,017,303.04
  5. Step 5: Solve for x
    x = 283,017,303.04/20,356.30
  6. Step 6: Final answer
    x = 13,903.18

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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.