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Finding the Fourth Proportional to 6,402.06, 9,605.70 and 2,891.10

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Solution

The fourth proportional to 6,402.06, 9,605.70 and 2,891.10 is: 4,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.06 : 9,605.70 = 2,891.10 : x
  2. Step 2: Convert to fraction form
    6,402.06/9,605.70 = 2,891.10/x
  3. Step 3: Cross multiply
    6,402.06x = 9,605.70 × 2,891.10
  4. Step 4: Simplify right side
    6,402.06x = 27,771,039.27
  5. Step 5: Solve for x
    x = 27,771,039.27/6,402.06
  6. Step 6: Final answer
    x = 4,337.83

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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.