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Finding the Fourth Proportional to 26,561.46, 39,836.03 and 7,842.78

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Solution

The fourth proportional to 26,561.46, 39,836.03 and 7,842.78 is: 11,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,561.46 : 39,836.03 = 7,842.78 : x
  2. Step 2: Convert to fraction form
    26,561.46/39,836.03 = 7,842.78/x
  3. Step 3: Cross multiply
    26,561.46x = 39,836.03 × 7,842.78
  4. Step 4: Simplify right side
    26,561.46x = 312,425,219.36
  5. Step 5: Solve for x
    x = 312,425,219.36/26,561.46
  6. Step 6: Final answer
    x = 11,762.35

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1.5x scale

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.