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Finding the Fourth Proportional to 8,462.16, 11,664.27 and 6,666.80

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Solution

The fourth proportional to 8,462.16, 11,664.27 and 6,666.80 is: 9,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.16 : 11,664.27 = 6,666.80 : x
  2. Step 2: Convert to fraction form
    8,462.16/11,664.27 = 6,666.80/x
  3. Step 3: Cross multiply
    8,462.16x = 11,664.27 × 6,666.80
  4. Step 4: Simplify right side
    8,462.16x = 77,763,296.91
  5. Step 5: Solve for x
    x = 77,763,296.91/8,462.16
  6. Step 6: Final answer
    x = 9,189.53

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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.