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Finding the Fourth Proportional to 10,502.44, 14,492.92 and 6,023.08

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Solution

The fourth proportional to 10,502.44, 14,492.92 and 6,023.08 is: 8,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.44 : 14,492.92 = 6,023.08 : x
  2. Step 2: Convert to fraction form
    10,502.44/14,492.92 = 6,023.08/x
  3. Step 3: Cross multiply
    10,502.44x = 14,492.92 × 6,023.08
  4. Step 4: Simplify right side
    10,502.44x = 87,292,016.59
  5. Step 5: Solve for x
    x = 87,292,016.59/10,502.44
  6. Step 6: Final answer
    x = 8,311.59

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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.