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Finding the Fourth Proportional to 8,911.42, 13,354.67 and 7,744.11

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Solution

The fourth proportional to 8,911.42, 13,354.67 and 7,744.11 is: 11,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.42 : 13,354.67 = 7,744.11 : x
  2. Step 2: Convert to fraction form
    8,911.42/13,354.67 = 7,744.11/x
  3. Step 3: Cross multiply
    8,911.42x = 13,354.67 × 7,744.11
  4. Step 4: Simplify right side
    8,911.42x = 103,420,002.77
  5. Step 5: Solve for x
    x = 103,420,002.77/8,911.42
  6. Step 6: Final answer
    x = 11,605.34

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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.