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Finding the Fourth Proportional to 12,353.21, 17,046.15 and 7,047

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Solution

The fourth proportional to 12,353.21, 17,046.15 and 7,047 is: 9,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.21 : 17,046.15 = 7,047 : x
  2. Step 2: Convert to fraction form
    12,353.21/17,046.15 = 7,047/x
  3. Step 3: Cross multiply
    12,353.21x = 17,046.15 × 7,047
  4. Step 4: Simplify right side
    12,353.21x = 120,124,192.62
  5. Step 5: Solve for x
    x = 120,124,192.62/12,353.21
  6. Step 6: Final answer
    x = 9,724.13

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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.