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Finding the Fourth Proportional to 26,446, 39,670.08 and 7,978

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Solution

The fourth proportional to 26,446, 39,670.08 and 7,978 is: 11,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446 : 39,670.08 = 7,978 : x
  2. Step 2: Convert to fraction form
    26,446/39,670.08 = 7,978/x
  3. Step 3: Cross multiply
    26,446x = 39,670.08 × 7,978
  4. Step 4: Simplify right side
    26,446x = 316,487,898.24
  5. Step 5: Solve for x
    x = 316,487,898.24/26,446
  6. Step 6: Final answer
    x = 11,967.33

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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.