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Finding the Fourth Proportional to 11,810.52, 17,710.47 and 3,487.64

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Solution

The fourth proportional to 11,810.52, 17,710.47 and 3,487.64 is: 5,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.52 : 17,710.47 = 3,487.64 : x
  2. Step 2: Convert to fraction form
    11,810.52/17,710.47 = 3,487.64/x
  3. Step 3: Cross multiply
    11,810.52x = 17,710.47 × 3,487.64
  4. Step 4: Simplify right side
    11,810.52x = 61,767,655.04
  5. Step 5: Solve for x
    x = 61,767,655.04/11,810.52
  6. Step 6: Final answer
    x = 5,229.88

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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.