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Finding the Fourth Proportional to 12,637, 17,439.06 and 7,048

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Solution

The fourth proportional to 12,637, 17,439.06 and 7,048 is: 9,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637 : 17,439.06 = 7,048 : x
  2. Step 2: Convert to fraction form
    12,637/17,439.06 = 7,048/x
  3. Step 3: Cross multiply
    12,637x = 17,439.06 × 7,048
  4. Step 4: Simplify right side
    12,637x = 122,910,494.88
  5. Step 5: Solve for x
    x = 122,910,494.88/12,637
  6. Step 6: Final answer
    x = 9,726.24

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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.