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Finding the Fourth Proportional to 12,215.61, 16,859.34 and 7,739.78

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Solution

The fourth proportional to 12,215.61, 16,859.34 and 7,739.78 is: 10,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.61 : 16,859.34 = 7,739.78 : x
  2. Step 2: Convert to fraction form
    12,215.61/16,859.34 = 7,739.78/x
  3. Step 3: Cross multiply
    12,215.61x = 16,859.34 × 7,739.78
  4. Step 4: Simplify right side
    12,215.61x = 130,487,545.67
  5. Step 5: Solve for x
    x = 130,487,545.67/12,215.61
  6. Step 6: Final answer
    x = 10,682.03

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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.