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Finding the Fourth Proportional to 4,006, 5,528.28 and 2,213.47

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Solution

The fourth proportional to 4,006, 5,528.28 and 2,213.47 is: 3,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,528.28 = 2,213.47 : x
  2. Step 2: Convert to fraction form
    4,006/5,528.28 = 2,213.47/x
  3. Step 3: Cross multiply
    4,006x = 5,528.28 × 2,213.47
  4. Step 4: Simplify right side
    4,006x = 12,236,681.93
  5. Step 5: Solve for x
    x = 12,236,681.93/4,006
  6. Step 6: Final answer
    x = 3,054.59

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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.