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Finding the Fourth Proportional to 6,891.40, 10,337.10 and 6,430.60

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Solution

The fourth proportional to 6,891.40, 10,337.10 and 6,430.60 is: 9,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.40 : 10,337.10 = 6,430.60 : x
  2. Step 2: Convert to fraction form
    6,891.40/10,337.10 = 6,430.60/x
  3. Step 3: Cross multiply
    6,891.40x = 10,337.10 × 6,430.60
  4. Step 4: Simplify right side
    6,891.40x = 66,473,755.26
  5. Step 5: Solve for x
    x = 66,473,755.26/6,891.40
  6. Step 6: Final answer
    x = 9,645.90

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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.