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Finding the Fourth Proportional to 12,805, 19,215.06 and 5,408.98

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Solution

The fourth proportional to 12,805, 19,215.06 and 5,408.98 is: 8,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805 : 19,215.06 = 5,408.98 : x
  2. Step 2: Convert to fraction form
    12,805/19,215.06 = 5,408.98/x
  3. Step 3: Cross multiply
    12,805x = 19,215.06 × 5,408.98
  4. Step 4: Simplify right side
    12,805x = 103,933,875.24
  5. Step 5: Solve for x
    x = 103,933,875.24/12,805
  6. Step 6: Final answer
    x = 8,116.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.