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Finding the Fourth Proportional to 6,484.27, 8,949.63 and 4,218.45

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Solution

The fourth proportional to 6,484.27, 8,949.63 and 4,218.45 is: 5,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.27 : 8,949.63 = 4,218.45 : x
  2. Step 2: Convert to fraction form
    6,484.27/8,949.63 = 4,218.45/x
  3. Step 3: Cross multiply
    6,484.27x = 8,949.63 × 4,218.45
  4. Step 4: Simplify right side
    6,484.27x = 37,753,521.93
  5. Step 5: Solve for x
    x = 37,753,521.93/6,484.27
  6. Step 6: Final answer
    x = 5,822.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.