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Finding the Fourth Proportional to 6,420.68, 8,857.86 and 4,321.16

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Solution

The fourth proportional to 6,420.68, 8,857.86 and 4,321.16 is: 5,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.68 : 8,857.86 = 4,321.16 : x
  2. Step 2: Convert to fraction form
    6,420.68/8,857.86 = 4,321.16/x
  3. Step 3: Cross multiply
    6,420.68x = 8,857.86 × 4,321.16
  4. Step 4: Simplify right side
    6,420.68x = 38,276,230.32
  5. Step 5: Solve for x
    x = 38,276,230.32/6,420.68
  6. Step 6: Final answer
    x = 5,961.40

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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.