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Finding the Fourth Proportional to 26,951.04, 40,428 and 8,231.64

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Solution

The fourth proportional to 26,951.04, 40,428 and 8,231.64 is: 12,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,951.04 : 40,428 = 8,231.64 : x
  2. Step 2: Convert to fraction form
    26,951.04/40,428 = 8,231.64/x
  3. Step 3: Cross multiply
    26,951.04x = 40,428 × 8,231.64
  4. Step 4: Simplify right side
    26,951.04x = 332,788,741.92
  5. Step 5: Solve for x
    x = 332,788,741.92/26,951.04
  6. Step 6: Final answer
    x = 12,347.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.