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Finding the Fourth Proportional to 11,706.13, 16,159.13 and 6,989.50

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Solution

The fourth proportional to 11,706.13, 16,159.13 and 6,989.50 is: 9,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.13 : 16,159.13 = 6,989.50 : x
  2. Step 2: Convert to fraction form
    11,706.13/16,159.13 = 6,989.50/x
  3. Step 3: Cross multiply
    11,706.13x = 16,159.13 × 6,989.50
  4. Step 4: Simplify right side
    11,706.13x = 112,944,239.14
  5. Step 5: Solve for x
    x = 112,944,239.14/11,706.13
  6. Step 6: Final answer
    x = 9,648.30

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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.