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Finding the Fourth Proportional to 12,814, 17,686.56 and 7,228.24

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Solution

The fourth proportional to 12,814, 17,686.56 and 7,228.24 is: 9,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 17,686.56 = 7,228.24 : x
  2. Step 2: Convert to fraction form
    12,814/17,686.56 = 7,228.24/x
  3. Step 3: Cross multiply
    12,814x = 17,686.56 × 7,228.24
  4. Step 4: Simplify right side
    12,814x = 127,842,700.45
  5. Step 5: Solve for x
    x = 127,842,700.45/12,814
  6. Step 6: Final answer
    x = 9,976.80

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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.