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Finding the Fourth Proportional to 6,293.84, 8,685.80 and 3,641.68

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Solution

The fourth proportional to 6,293.84, 8,685.80 and 3,641.68 is: 5,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.84 : 8,685.80 = 3,641.68 : x
  2. Step 2: Convert to fraction form
    6,293.84/8,685.80 = 3,641.68/x
  3. Step 3: Cross multiply
    6,293.84x = 8,685.80 × 3,641.68
  4. Step 4: Simplify right side
    6,293.84x = 31,630,904.14
  5. Step 5: Solve for x
    x = 31,630,904.14/6,293.84
  6. Step 6: Final answer
    x = 5,025.69

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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.