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Finding the Fourth Proportional to 10,689, 14,750.82 and 6,496.44

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Solution

The fourth proportional to 10,689, 14,750.82 and 6,496.44 is: 8,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689 : 14,750.82 = 6,496.44 : x
  2. Step 2: Convert to fraction form
    10,689/14,750.82 = 6,496.44/x
  3. Step 3: Cross multiply
    10,689x = 14,750.82 × 6,496.44
  4. Step 4: Simplify right side
    10,689x = 95,827,817.08
  5. Step 5: Solve for x
    x = 95,827,817.08/10,689
  6. Step 6: Final answer
    x = 8,965.09

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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.