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Finding the Fourth Proportional to 6,138.16, 8,471.76 and 3,486.64

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Solution

The fourth proportional to 6,138.16, 8,471.76 and 3,486.64 is: 4,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.16 : 8,471.76 = 3,486.64 : x
  2. Step 2: Convert to fraction form
    6,138.16/8,471.76 = 3,486.64/x
  3. Step 3: Cross multiply
    6,138.16x = 8,471.76 × 3,486.64
  4. Step 4: Simplify right side
    6,138.16x = 29,537,977.29
  5. Step 5: Solve for x
    x = 29,537,977.29/6,138.16
  6. Step 6: Final answer
    x = 4,812.19

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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.