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Finding the Fourth Proportional to 6,145.48, 9,216.30 and 5,792.20

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Solution

The fourth proportional to 6,145.48, 9,216.30 and 5,792.20 is: 8,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.48 : 9,216.30 = 5,792.20 : x
  2. Step 2: Convert to fraction form
    6,145.48/9,216.30 = 5,792.20/x
  3. Step 3: Cross multiply
    6,145.48x = 9,216.30 × 5,792.20
  4. Step 4: Simplify right side
    6,145.48x = 53,382,652.86
  5. Step 5: Solve for x
    x = 53,382,652.86/6,145.48
  6. Step 6: Final answer
    x = 8,686.49

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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.