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Finding the Fourth Proportional to 11,359.62, 15,669.81 and 6,821.10

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Solution

The fourth proportional to 11,359.62, 15,669.81 and 6,821.10 is: 9,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.62 : 15,669.81 = 6,821.10 : x
  2. Step 2: Convert to fraction form
    11,359.62/15,669.81 = 6,821.10/x
  3. Step 3: Cross multiply
    11,359.62x = 15,669.81 × 6,821.10
  4. Step 4: Simplify right side
    11,359.62x = 106,885,340.99
  5. Step 5: Solve for x
    x = 106,885,340.99/11,359.62
  6. Step 6: Final answer
    x = 9,409.24

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Half scale
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Double scale
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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.