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Finding the Fourth Proportional to 7,726.80, 10,662.98 and 4,190

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Solution

The fourth proportional to 7,726.80, 10,662.98 and 4,190 is: 5,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.80 : 10,662.98 = 4,190 : x
  2. Step 2: Convert to fraction form
    7,726.80/10,662.98 = 4,190/x
  3. Step 3: Cross multiply
    7,726.80x = 10,662.98 × 4,190
  4. Step 4: Simplify right side
    7,726.80x = 44,677,886.20
  5. Step 5: Solve for x
    x = 44,677,886.20/7,726.80
  6. Step 6: Final answer
    x = 5,782.20

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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.