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Finding the Fourth Proportional to 5,686.72, 8,528.16 and 2,763.16

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Solution

The fourth proportional to 5,686.72, 8,528.16 and 2,763.16 is: 4,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.72 : 8,528.16 = 2,763.16 : x
  2. Step 2: Convert to fraction form
    5,686.72/8,528.16 = 2,763.16/x
  3. Step 3: Cross multiply
    5,686.72x = 8,528.16 × 2,763.16
  4. Step 4: Simplify right side
    5,686.72x = 23,564,670.59
  5. Step 5: Solve for x
    x = 23,564,670.59/5,686.72
  6. Step 6: Final answer
    x = 4,143.81

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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.