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Finding the Fourth Proportional to 7,772.66, 11,656.56 and 3,385.70

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Solution

The fourth proportional to 7,772.66, 11,656.56 and 3,385.70 is: 5,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.66 : 11,656.56 = 3,385.70 : x
  2. Step 2: Convert to fraction form
    7,772.66/11,656.56 = 3,385.70/x
  3. Step 3: Cross multiply
    7,772.66x = 11,656.56 × 3,385.70
  4. Step 4: Simplify right side
    7,772.66x = 39,465,615.19
  5. Step 5: Solve for x
    x = 39,465,615.19/7,772.66
  6. Step 6: Final answer
    x = 5,077.49

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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.