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Finding the Fourth Proportional to 10,941, 15,099.40 and 6,226.80

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Solution

The fourth proportional to 10,941, 15,099.40 and 6,226.80 is: 8,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941 : 15,099.40 = 6,226.80 : x
  2. Step 2: Convert to fraction form
    10,941/15,099.40 = 6,226.80/x
  3. Step 3: Cross multiply
    10,941x = 15,099.40 × 6,226.80
  4. Step 4: Simplify right side
    10,941x = 94,020,943.92
  5. Step 5: Solve for x
    x = 94,020,943.92/10,941
  6. Step 6: Final answer
    x = 8,593.45

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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.