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Finding the Fourth Proportional to 12,822.64, 17,695.56 and 7,234

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Solution

The fourth proportional to 12,822.64, 17,695.56 and 7,234 is: 9,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.64 : 17,695.56 = 7,234 : x
  2. Step 2: Convert to fraction form
    12,822.64/17,695.56 = 7,234/x
  3. Step 3: Cross multiply
    12,822.64x = 17,695.56 × 7,234
  4. Step 4: Simplify right side
    12,822.64x = 128,009,681.04
  5. Step 5: Solve for x
    x = 128,009,681.04/12,822.64
  6. Step 6: Final answer
    x = 9,983.10

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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.