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Finding the Fourth Proportional to 4,084.86, 6,127.86 and 1,310.88

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Solution

The fourth proportional to 4,084.86, 6,127.86 and 1,310.88 is: 1,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.86 : 6,127.86 = 1,310.88 : x
  2. Step 2: Convert to fraction form
    4,084.86/6,127.86 = 1,310.88/x
  3. Step 3: Cross multiply
    4,084.86x = 6,127.86 × 1,310.88
  4. Step 4: Simplify right side
    4,084.86x = 8,032,889.12
  5. Step 5: Solve for x
    x = 8,032,889.12/4,084.86
  6. Step 6: Final answer
    x = 1,966.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.