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Finding the Fourth Proportional to 5,509.88, 8,264.82 and 1,405.88

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Solution

The fourth proportional to 5,509.88, 8,264.82 and 1,405.88 is: 2,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.88 : 8,264.82 = 1,405.88 : x
  2. Step 2: Convert to fraction form
    5,509.88/8,264.82 = 1,405.88/x
  3. Step 3: Cross multiply
    5,509.88x = 8,264.82 × 1,405.88
  4. Step 4: Simplify right side
    5,509.88x = 11,619,345.14
  5. Step 5: Solve for x
    x = 11,619,345.14/5,509.88
  6. Step 6: Final answer
    x = 2,108.82

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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.