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Finding the Fourth Proportional to 6,303.12, 8,696.88 and 3,784.56

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Solution

The fourth proportional to 6,303.12, 8,696.88 and 3,784.56 is: 5,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.12 : 8,696.88 = 3,784.56 : x
  2. Step 2: Convert to fraction form
    6,303.12/8,696.88 = 3,784.56/x
  3. Step 3: Cross multiply
    6,303.12x = 8,696.88 × 3,784.56
  4. Step 4: Simplify right side
    6,303.12x = 32,913,864.17
  5. Step 5: Solve for x
    x = 32,913,864.17/6,303.12
  6. Step 6: Final answer
    x = 5,221.84

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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.