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Finding the Fourth Proportional to 7,148.58, 9,859.77 and 4,910.82

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Solution

The fourth proportional to 7,148.58, 9,859.77 and 4,910.82 is: 6,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.58 : 9,859.77 = 4,910.82 : x
  2. Step 2: Convert to fraction form
    7,148.58/9,859.77 = 4,910.82/x
  3. Step 3: Cross multiply
    7,148.58x = 9,859.77 × 4,910.82
  4. Step 4: Simplify right side
    7,148.58x = 48,419,555.71
  5. Step 5: Solve for x
    x = 48,419,555.71/7,148.58
  6. Step 6: Final answer
    x = 6,773.31

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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.