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Finding the Fourth Proportional to 12,427.44, 17,149.08 and 7,710

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Solution

The fourth proportional to 12,427.44, 17,149.08 and 7,710 is: 10,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.44 : 17,149.08 = 7,710 : x
  2. Step 2: Convert to fraction form
    12,427.44/17,149.08 = 7,710/x
  3. Step 3: Cross multiply
    12,427.44x = 17,149.08 × 7,710
  4. Step 4: Simplify right side
    12,427.44x = 132,219,406.80
  5. Step 5: Solve for x
    x = 132,219,406.80/12,427.44
  6. Step 6: Final answer
    x = 10,639.31

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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.