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Finding the Fourth Proportional to 3,898.38, 5,847.51 and 976.68

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Solution

The fourth proportional to 3,898.38, 5,847.51 and 976.68 is: 1,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.38 : 5,847.51 = 976.68 : x
  2. Step 2: Convert to fraction form
    3,898.38/5,847.51 = 976.68/x
  3. Step 3: Cross multiply
    3,898.38x = 5,847.51 × 976.68
  4. Step 4: Simplify right side
    3,898.38x = 5,711,146.07
  5. Step 5: Solve for x
    x = 5,711,146.07/3,898.38
  6. Step 6: Final answer
    x = 1,465.00

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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.