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Finding the Fourth Proportional to 6,985.50, 9,640.08 and 3,841.80

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Solution

The fourth proportional to 6,985.50, 9,640.08 and 3,841.80 is: 5,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.50 : 9,640.08 = 3,841.80 : x
  2. Step 2: Convert to fraction form
    6,985.50/9,640.08 = 3,841.80/x
  3. Step 3: Cross multiply
    6,985.50x = 9,640.08 × 3,841.80
  4. Step 4: Simplify right side
    6,985.50x = 37,035,259.34
  5. Step 5: Solve for x
    x = 37,035,259.34/6,985.50
  6. Step 6: Final answer
    x = 5,301.73

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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.