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Finding the Fourth Proportional to 8,521.76, 12,776.40 and 5,741.48

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Solution

The fourth proportional to 8,521.76, 12,776.40 and 5,741.48 is: 8,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.76 : 12,776.40 = 5,741.48 : x
  2. Step 2: Convert to fraction form
    8,521.76/12,776.40 = 5,741.48/x
  3. Step 3: Cross multiply
    8,521.76x = 12,776.40 × 5,741.48
  4. Step 4: Simplify right side
    8,521.76x = 73,355,445.07
  5. Step 5: Solve for x
    x = 73,355,445.07/8,521.76
  6. Step 6: Final answer
    x = 8,608.02

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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.