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Finding the Fourth Proportional to 10,681.80, 16,009.20 and 4,099.20

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Solution

The fourth proportional to 10,681.80, 16,009.20 and 4,099.20 is: 6,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.80 : 16,009.20 = 4,099.20 : x
  2. Step 2: Convert to fraction form
    10,681.80/16,009.20 = 4,099.20/x
  3. Step 3: Cross multiply
    10,681.80x = 16,009.20 × 4,099.20
  4. Step 4: Simplify right side
    10,681.80x = 65,624,912.64
  5. Step 5: Solve for x
    x = 65,624,912.64/10,681.80
  6. Step 6: Final answer
    x = 6,143.62

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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.