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Finding the Fourth Proportional to 10,533.66, 15,805.10 and 4,990.96

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Solution

The fourth proportional to 10,533.66, 15,805.10 and 4,990.96 is: 7,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.66 : 15,805.10 = 4,990.96 : x
  2. Step 2: Convert to fraction form
    10,533.66/15,805.10 = 4,990.96/x
  3. Step 3: Cross multiply
    10,533.66x = 15,805.10 × 4,990.96
  4. Step 4: Simplify right side
    10,533.66x = 78,882,635.41
  5. Step 5: Solve for x
    x = 78,882,635.41/10,533.66
  6. Step 6: Final answer
    x = 7,488.63

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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.