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Finding the Fourth Proportional to 4,950.86, 6,840.82 and 3,897

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Solution

The fourth proportional to 4,950.86, 6,840.82 and 3,897 is: 5,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.86 : 6,840.82 = 3,897 : x
  2. Step 2: Convert to fraction form
    4,950.86/6,840.82 = 3,897/x
  3. Step 3: Cross multiply
    4,950.86x = 6,840.82 × 3,897
  4. Step 4: Simplify right side
    4,950.86x = 26,658,675.54
  5. Step 5: Solve for x
    x = 26,658,675.54/4,950.86
  6. Step 6: Final answer
    x = 5,384.66

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1.5x scale

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.