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Finding the Fourth Proportional to 12,804, 17,669.52 and 7,215.20

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Solution

The fourth proportional to 12,804, 17,669.52 and 7,215.20 is: 9,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804 : 17,669.52 = 7,215.20 : x
  2. Step 2: Convert to fraction form
    12,804/17,669.52 = 7,215.20/x
  3. Step 3: Cross multiply
    12,804x = 17,669.52 × 7,215.20
  4. Step 4: Simplify right side
    12,804x = 127,489,120.70
  5. Step 5: Solve for x
    x = 127,489,120.70/12,804
  6. Step 6: Final answer
    x = 9,956.98

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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.