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Finding the Fourth Proportional to 7,781.76, 11,656.08 and 6,294.60

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Solution

The fourth proportional to 7,781.76, 11,656.08 and 6,294.60 is: 9,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.76 : 11,656.08 = 6,294.60 : x
  2. Step 2: Convert to fraction form
    7,781.76/11,656.08 = 6,294.60/x
  3. Step 3: Cross multiply
    7,781.76x = 11,656.08 × 6,294.60
  4. Step 4: Simplify right side
    7,781.76x = 73,370,361.17
  5. Step 5: Solve for x
    x = 73,370,361.17/7,781.76
  6. Step 6: Final answer
    x = 9,428.50

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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.