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Finding the Fourth Proportional to 5,405.16, 8,091.33 and 5,224.74

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Solution

The fourth proportional to 5,405.16, 8,091.33 and 5,224.74 is: 7,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.16 : 8,091.33 = 5,224.74 : x
  2. Step 2: Convert to fraction form
    5,405.16/8,091.33 = 5,224.74/x
  3. Step 3: Cross multiply
    5,405.16x = 8,091.33 × 5,224.74
  4. Step 4: Simplify right side
    5,405.16x = 42,275,095.50
  5. Step 5: Solve for x
    x = 42,275,095.50/5,405.16
  6. Step 6: Final answer
    x = 7,821.25

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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.