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Finding the Fourth Proportional to 5,819.80, 8,726.46 and 5,128.06

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Solution

The fourth proportional to 5,819.80, 8,726.46 and 5,128.06 is: 7,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.80 : 8,726.46 = 5,128.06 : x
  2. Step 2: Convert to fraction form
    5,819.80/8,726.46 = 5,128.06/x
  3. Step 3: Cross multiply
    5,819.80x = 8,726.46 × 5,128.06
  4. Step 4: Simplify right side
    5,819.80x = 44,749,810.47
  5. Step 5: Solve for x
    x = 44,749,810.47/5,819.80
  6. Step 6: Final answer
    x = 7,689.24

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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.