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Finding the Fourth Proportional to 10,489, 15,733.50 and 3,563.56

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Solution

The fourth proportional to 10,489, 15,733.50 and 3,563.56 is: 5,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489 : 15,733.50 = 3,563.56 : x
  2. Step 2: Convert to fraction form
    10,489/15,733.50 = 3,563.56/x
  3. Step 3: Cross multiply
    10,489x = 15,733.50 × 3,563.56
  4. Step 4: Simplify right side
    10,489x = 56,067,271.26
  5. Step 5: Solve for x
    x = 56,067,271.26/10,489
  6. Step 6: Final answer
    x = 5,345.34

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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.