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Finding the Fourth Proportional to 5,428.69, 8,143.03 and 1,533.20

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Solution

The fourth proportional to 5,428.69, 8,143.03 and 1,533.20 is: 2,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.69 : 8,143.03 = 1,533.20 : x
  2. Step 2: Convert to fraction form
    5,428.69/8,143.03 = 1,533.20/x
  3. Step 3: Cross multiply
    5,428.69x = 8,143.03 × 1,533.20
  4. Step 4: Simplify right side
    5,428.69x = 12,484,854.80
  5. Step 5: Solve for x
    x = 12,484,854.80/5,428.69
  6. Step 6: Final answer
    x = 2,299.79

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Similar ratio
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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.