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Finding the Fourth Proportional to 10,291.98, 14,205.14 and 5,815.92

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Solution

The fourth proportional to 10,291.98, 14,205.14 and 5,815.92 is: 8,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.98 : 14,205.14 = 5,815.92 : x
  2. Step 2: Convert to fraction form
    10,291.98/14,205.14 = 5,815.92/x
  3. Step 3: Cross multiply
    10,291.98x = 14,205.14 × 5,815.92
  4. Step 4: Simplify right side
    10,291.98x = 82,615,957.83
  5. Step 5: Solve for x
    x = 82,615,957.83/10,291.98
  6. Step 6: Final answer
    x = 8,027.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.