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Finding the Fourth Proportional to 12,649.48, 17,456.16 and 6,983.98

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Solution

The fourth proportional to 12,649.48, 17,456.16 and 6,983.98 is: 9,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.48 : 17,456.16 = 6,983.98 : x
  2. Step 2: Convert to fraction form
    12,649.48/17,456.16 = 6,983.98/x
  3. Step 3: Cross multiply
    12,649.48x = 17,456.16 × 6,983.98
  4. Step 4: Simplify right side
    12,649.48x = 121,913,472.32
  5. Step 5: Solve for x
    x = 121,913,472.32/12,649.48
  6. Step 6: Final answer
    x = 9,637.82

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1.5x scale

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.