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Finding the Fourth Proportional to 13,560, 20,347.68 and 6,264

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Solution

The fourth proportional to 13,560, 20,347.68 and 6,264 is: 9,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,560 : 20,347.68 = 6,264 : x
  2. Step 2: Convert to fraction form
    13,560/20,347.68 = 6,264/x
  3. Step 3: Cross multiply
    13,560x = 20,347.68 × 6,264
  4. Step 4: Simplify right side
    13,560x = 127,457,867.52
  5. Step 5: Solve for x
    x = 127,457,867.52/13,560
  6. Step 6: Final answer
    x = 9,399.55

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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.