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Finding the Fourth Proportional to 3,898.68, 5,847.96 and 976.98

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Solution

The fourth proportional to 3,898.68, 5,847.96 and 976.98 is: 1,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.68 : 5,847.96 = 976.98 : x
  2. Step 2: Convert to fraction form
    3,898.68/5,847.96 = 976.98/x
  3. Step 3: Cross multiply
    3,898.68x = 5,847.96 × 976.98
  4. Step 4: Simplify right side
    3,898.68x = 5,713,339.96
  5. Step 5: Solve for x
    x = 5,713,339.96/3,898.68
  6. Step 6: Final answer
    x = 1,465.45

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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.