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Finding the Fourth Proportional to 10,005, 13,806.90 and 5,528.76

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Solution

The fourth proportional to 10,005, 13,806.90 and 5,528.76 is: 7,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005 : 13,806.90 = 5,528.76 : x
  2. Step 2: Convert to fraction form
    10,005/13,806.90 = 5,528.76/x
  3. Step 3: Cross multiply
    10,005x = 13,806.90 × 5,528.76
  4. Step 4: Simplify right side
    10,005x = 76,335,036.44
  5. Step 5: Solve for x
    x = 76,335,036.44/10,005
  6. Step 6: Final answer
    x = 7,629.69

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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.