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Finding the Fourth Proportional to 6,278.64, 8,664.08 and 3,484.32

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Solution

The fourth proportional to 6,278.64, 8,664.08 and 3,484.32 is: 4,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.64 : 8,664.08 = 3,484.32 : x
  2. Step 2: Convert to fraction form
    6,278.64/8,664.08 = 3,484.32/x
  3. Step 3: Cross multiply
    6,278.64x = 8,664.08 × 3,484.32
  4. Step 4: Simplify right side
    6,278.64x = 30,188,427.23
  5. Step 5: Solve for x
    x = 30,188,427.23/6,278.64
  6. Step 6: Final answer
    x = 4,808.12

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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.