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Finding the Fourth Proportional to 6,289.68, 8,679.84 and 3,637.20

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Solution

The fourth proportional to 6,289.68, 8,679.84 and 3,637.20 is: 5,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.68 : 8,679.84 = 3,637.20 : x
  2. Step 2: Convert to fraction form
    6,289.68/8,679.84 = 3,637.20/x
  3. Step 3: Cross multiply
    6,289.68x = 8,679.84 × 3,637.20
  4. Step 4: Simplify right side
    6,289.68x = 31,570,314.05
  5. Step 5: Solve for x
    x = 31,570,314.05/6,289.68
  6. Step 6: Final answer
    x = 5,019.38

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Half scale
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Double scale
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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.