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Finding the Fourth Proportional to 15,728, 21,707.52 and 9,104

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Solution

The fourth proportional to 15,728, 21,707.52 and 9,104 is: 12,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728 : 21,707.52 = 9,104 : x
  2. Step 2: Convert to fraction form
    15,728/21,707.52 = 9,104/x
  3. Step 3: Cross multiply
    15,728x = 21,707.52 × 9,104
  4. Step 4: Simplify right side
    15,728x = 197,625,262.08
  5. Step 5: Solve for x
    x = 197,625,262.08/15,728
  6. Step 6: Final answer
    x = 12,565.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.