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Finding the Fourth Proportional to 7,085.99, 9,778.40 and 3,899.10

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Solution

The fourth proportional to 7,085.99, 9,778.40 and 3,899.10 is: 5,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.99 : 9,778.40 = 3,899.10 : x
  2. Step 2: Convert to fraction form
    7,085.99/9,778.40 = 3,899.10/x
  3. Step 3: Cross multiply
    7,085.99x = 9,778.40 × 3,899.10
  4. Step 4: Simplify right side
    7,085.99x = 38,126,897.76
  5. Step 5: Solve for x
    x = 38,126,897.76/7,085.99
  6. Step 6: Final answer
    x = 5,380.60

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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.