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Finding the Fourth Proportional to 4,965.93, 7,449.96 and 1,678.95

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Solution

The fourth proportional to 4,965.93, 7,449.96 and 1,678.95 is: 2,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.93 : 7,449.96 = 1,678.95 : x
  2. Step 2: Convert to fraction form
    4,965.93/7,449.96 = 1,678.95/x
  3. Step 3: Cross multiply
    4,965.93x = 7,449.96 × 1,678.95
  4. Step 4: Simplify right side
    4,965.93x = 12,508,110.34
  5. Step 5: Solve for x
    x = 12,508,110.34/4,965.93
  6. Step 6: Final answer
    x = 2,518.79

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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.