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Finding the Fourth Proportional to 12,888, 19,332.54 and 3,654

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Solution

The fourth proportional to 12,888, 19,332.54 and 3,654 is: 5,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888 : 19,332.54 = 3,654 : x
  2. Step 2: Convert to fraction form
    12,888/19,332.54 = 3,654/x
  3. Step 3: Cross multiply
    12,888x = 19,332.54 × 3,654
  4. Step 4: Simplify right side
    12,888x = 70,641,101.16
  5. Step 5: Solve for x
    x = 70,641,101.16/12,888
  6. Step 6: Final answer
    x = 5,481.15

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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.