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Finding the Fourth Proportional to 8,459.91, 11,663.49 and 6,941.91

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Solution

The fourth proportional to 8,459.91, 11,663.49 and 6,941.91 is: 9,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.91 : 11,663.49 = 6,941.91 : x
  2. Step 2: Convert to fraction form
    8,459.91/11,663.49 = 6,941.91/x
  3. Step 3: Cross multiply
    8,459.91x = 11,663.49 × 6,941.91
  4. Step 4: Simplify right side
    8,459.91x = 80,966,897.87
  5. Step 5: Solve for x
    x = 80,966,897.87/8,459.91
  6. Step 6: Final answer
    x = 9,570.66

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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.