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Finding the Fourth Proportional to 5,842, 8,060.74 and 3,953.89

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Solution

The fourth proportional to 5,842, 8,060.74 and 3,953.89 is: 5,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 8,060.74 = 3,953.89 : x
  2. Step 2: Convert to fraction form
    5,842/8,060.74 = 3,953.89/x
  3. Step 3: Cross multiply
    5,842x = 8,060.74 × 3,953.89
  4. Step 4: Simplify right side
    5,842x = 31,871,279.28
  5. Step 5: Solve for x
    x = 31,871,279.28/5,842
  6. Step 6: Final answer
    x = 5,455.54

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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.