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Finding the Fourth Proportional to 15,336, 21,163.68 and 8,712

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Solution

The fourth proportional to 15,336, 21,163.68 and 8,712 is: 12,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 21,163.68 = 8,712 : x
  2. Step 2: Convert to fraction form
    15,336/21,163.68 = 8,712/x
  3. Step 3: Cross multiply
    15,336x = 21,163.68 × 8,712
  4. Step 4: Simplify right side
    15,336x = 184,377,980.16
  5. Step 5: Solve for x
    x = 184,377,980.16/15,336
  6. Step 6: Final answer
    x = 12,022.56

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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.