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Finding the Fourth Proportional to 10,329.66, 15,488.01 and 6,815.94

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Solution

The fourth proportional to 10,329.66, 15,488.01 and 6,815.94 is: 10,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.66 : 15,488.01 = 6,815.94 : x
  2. Step 2: Convert to fraction form
    10,329.66/15,488.01 = 6,815.94/x
  3. Step 3: Cross multiply
    10,329.66x = 15,488.01 × 6,815.94
  4. Step 4: Simplify right side
    10,329.66x = 105,565,346.88
  5. Step 5: Solve for x
    x = 105,565,346.88/10,329.66
  6. Step 6: Final answer
    x = 10,219.63

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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.