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Finding the Fourth Proportional to 12,005.70, 18,008.60 and 5,424.18

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Solution

The fourth proportional to 12,005.70, 18,008.60 and 5,424.18 is: 8,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.70 : 18,008.60 = 5,424.18 : x
  2. Step 2: Convert to fraction form
    12,005.70/18,008.60 = 5,424.18/x
  3. Step 3: Cross multiply
    12,005.70x = 18,008.60 × 5,424.18
  4. Step 4: Simplify right side
    12,005.70x = 97,681,860.83
  5. Step 5: Solve for x
    x = 97,681,860.83/12,005.70
  6. Step 6: Final answer
    x = 8,136.29

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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.