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Finding the Fourth Proportional to 11,689.87, 17,506.86 and 6,416.77

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Solution

The fourth proportional to 11,689.87, 17,506.86 and 6,416.77 is: 9,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.87 : 17,506.86 = 6,416.77 : x
  2. Step 2: Convert to fraction form
    11,689.87/17,506.86 = 6,416.77/x
  3. Step 3: Cross multiply
    11,689.87x = 17,506.86 × 6,416.77
  4. Step 4: Simplify right side
    11,689.87x = 112,337,494.04
  5. Step 5: Solve for x
    x = 112,337,494.04/11,689.87
  6. Step 6: Final answer
    x = 9,609.82

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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.