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Finding the Fourth Proportional to 10,649.43, 14,690.43 and 6,669.72

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Solution

The fourth proportional to 10,649.43, 14,690.43 and 6,669.72 is: 9,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.43 : 14,690.43 = 6,669.72 : x
  2. Step 2: Convert to fraction form
    10,649.43/14,690.43 = 6,669.72/x
  3. Step 3: Cross multiply
    10,649.43x = 14,690.43 × 6,669.72
  4. Step 4: Simplify right side
    10,649.43x = 97,981,054.78
  5. Step 5: Solve for x
    x = 97,981,054.78/10,649.43
  6. Step 6: Final answer
    x = 9,200.59

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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.