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Finding the Fourth Proportional to 8,434.98, 11,643.66 and 5,080.68

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Solution

The fourth proportional to 8,434.98, 11,643.66 and 5,080.68 is: 7,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.98 : 11,643.66 = 5,080.68 : x
  2. Step 2: Convert to fraction form
    8,434.98/11,643.66 = 5,080.68/x
  3. Step 3: Cross multiply
    8,434.98x = 11,643.66 × 5,080.68
  4. Step 4: Simplify right side
    8,434.98x = 59,157,710.49
  5. Step 5: Solve for x
    x = 59,157,710.49/8,434.98
  6. Step 6: Final answer
    x = 7,013.38

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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.