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Finding the Fourth Proportional to 6,484.21, 8,940.86 and 5,637.49

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Solution

The fourth proportional to 6,484.21, 8,940.86 and 5,637.49 is: 7,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.21 : 8,940.86 = 5,637.49 : x
  2. Step 2: Convert to fraction form
    6,484.21/8,940.86 = 5,637.49/x
  3. Step 3: Cross multiply
    6,484.21x = 8,940.86 × 5,637.49
  4. Step 4: Simplify right side
    6,484.21x = 50,403,980.65
  5. Step 5: Solve for x
    x = 50,403,980.65/6,484.21
  6. Step 6: Final answer
    x = 7,773.34

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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.