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Finding the Fourth Proportional to 10,502.26, 14,493 and 6,026.11

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Solution

The fourth proportional to 10,502.26, 14,493 and 6,026.11 is: 8,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.26 : 14,493 = 6,026.11 : x
  2. Step 2: Convert to fraction form
    10,502.26/14,493 = 6,026.11/x
  3. Step 3: Cross multiply
    10,502.26x = 14,493 × 6,026.11
  4. Step 4: Simplify right side
    10,502.26x = 87,336,412.23
  5. Step 5: Solve for x
    x = 87,336,412.23/10,502.26
  6. Step 6: Final answer
    x = 8,315.96

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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.