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Finding the Fourth Proportional to 12,810, 17,678.40 and 7,221

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Solution

The fourth proportional to 12,810, 17,678.40 and 7,221 is: 9,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810 : 17,678.40 = 7,221 : x
  2. Step 2: Convert to fraction form
    12,810/17,678.40 = 7,221/x
  3. Step 3: Cross multiply
    12,810x = 17,678.40 × 7,221
  4. Step 4: Simplify right side
    12,810x = 127,655,726.40
  5. Step 5: Solve for x
    x = 127,655,726.40/12,810
  6. Step 6: Final answer
    x = 9,965.32

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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.