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Finding the Fourth Proportional to 10,291.92, 15,444.18 and 4,448.40

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Solution

The fourth proportional to 10,291.92, 15,444.18 and 4,448.40 is: 6,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.92 : 15,444.18 = 4,448.40 : x
  2. Step 2: Convert to fraction form
    10,291.92/15,444.18 = 4,448.40/x
  3. Step 3: Cross multiply
    10,291.92x = 15,444.18 × 4,448.40
  4. Step 4: Simplify right side
    10,291.92x = 68,701,890.31
  5. Step 5: Solve for x
    x = 68,701,890.31/10,291.92
  6. Step 6: Final answer
    x = 6,675.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.