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Finding the Fourth Proportional to 8,648.98, 11,941.02 and 6,655.77

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Solution

The fourth proportional to 8,648.98, 11,941.02 and 6,655.77 is: 9,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.98 : 11,941.02 = 6,655.77 : x
  2. Step 2: Convert to fraction form
    8,648.98/11,941.02 = 6,655.77/x
  3. Step 3: Cross multiply
    8,648.98x = 11,941.02 × 6,655.77
  4. Step 4: Simplify right side
    8,648.98x = 79,476,682.69
  5. Step 5: Solve for x
    x = 79,476,682.69/8,648.98
  6. Step 6: Final answer
    x = 9,189.14

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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.