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Finding the Fourth Proportional to 26,378.12, 39,561 and 7,653.20

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Solution

The fourth proportional to 26,378.12, 39,561 and 7,653.20 is: 11,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378.12 : 39,561 = 7,653.20 : x
  2. Step 2: Convert to fraction form
    26,378.12/39,561 = 7,653.20/x
  3. Step 3: Cross multiply
    26,378.12x = 39,561 × 7,653.20
  4. Step 4: Simplify right side
    26,378.12x = 302,768,245.20
  5. Step 5: Solve for x
    x = 302,768,245.20/26,378.12
  6. Step 6: Final answer
    x = 11,478.01

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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.