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Finding the Fourth Proportional to 8,297.60, 11,461.87 and 7,707.11

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Solution

The fourth proportional to 8,297.60, 11,461.87 and 7,707.11 is: 10,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.60 : 11,461.87 = 7,707.11 : x
  2. Step 2: Convert to fraction form
    8,297.60/11,461.87 = 7,707.11/x
  3. Step 3: Cross multiply
    8,297.60x = 11,461.87 × 7,707.11
  4. Step 4: Simplify right side
    8,297.60x = 88,337,845.22
  5. Step 5: Solve for x
    x = 88,337,845.22/8,297.60
  6. Step 6: Final answer
    x = 10,646.20

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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.