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Finding the Fourth Proportional to 6,498.80, 9,726.36 and 5,405.36

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Solution

The fourth proportional to 6,498.80, 9,726.36 and 5,405.36 is: 8,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.80 : 9,726.36 = 5,405.36 : x
  2. Step 2: Convert to fraction form
    6,498.80/9,726.36 = 5,405.36/x
  3. Step 3: Cross multiply
    6,498.80x = 9,726.36 × 5,405.36
  4. Step 4: Simplify right side
    6,498.80x = 52,574,477.29
  5. Step 5: Solve for x
    x = 52,574,477.29/6,498.80
  6. Step 6: Final answer
    x = 8,089.87

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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.