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Finding the Fourth Proportional to 10,085.76, 13,910.40 and 6,940.80

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Solution

The fourth proportional to 10,085.76, 13,910.40 and 6,940.80 is: 9,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.76 : 13,910.40 = 6,940.80 : x
  2. Step 2: Convert to fraction form
    10,085.76/13,910.40 = 6,940.80/x
  3. Step 3: Cross multiply
    10,085.76x = 13,910.40 × 6,940.80
  4. Step 4: Simplify right side
    10,085.76x = 96,549,304.32
  5. Step 5: Solve for x
    x = 96,549,304.32/10,085.76
  6. Step 6: Final answer
    x = 9,572.83

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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.