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Finding the Fourth Proportional to 10,766.71, 14,855.97 and 6,989.59

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Solution

The fourth proportional to 10,766.71, 14,855.97 and 6,989.59 is: 9,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.71 : 14,855.97 = 6,989.59 : x
  2. Step 2: Convert to fraction form
    10,766.71/14,855.97 = 6,989.59/x
  3. Step 3: Cross multiply
    10,766.71x = 14,855.97 × 6,989.59
  4. Step 4: Simplify right side
    10,766.71x = 103,837,139.35
  5. Step 5: Solve for x
    x = 103,837,139.35/10,766.71
  6. Step 6: Final answer
    x = 9,644.28

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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.