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Finding the Fourth Proportional to 7,781.76, 11,673.90 and 3,101.76

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Solution

The fourth proportional to 7,781.76, 11,673.90 and 3,101.76 is: 4,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.76 : 11,673.90 = 3,101.76 : x
  2. Step 2: Convert to fraction form
    7,781.76/11,673.90 = 3,101.76/x
  3. Step 3: Cross multiply
    7,781.76x = 11,673.90 × 3,101.76
  4. Step 4: Simplify right side
    7,781.76x = 36,209,636.06
  5. Step 5: Solve for x
    x = 36,209,636.06/7,781.76
  6. Step 6: Final answer
    x = 4,653.14

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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.