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Finding the Fourth Proportional to 3,789.16, 5,683.70 and 977.99

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Solution

The fourth proportional to 3,789.16, 5,683.70 and 977.99 is: 1,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.16 : 5,683.70 = 977.99 : x
  2. Step 2: Convert to fraction form
    3,789.16/5,683.70 = 977.99/x
  3. Step 3: Cross multiply
    3,789.16x = 5,683.70 × 977.99
  4. Step 4: Simplify right side
    3,789.16x = 5,558,601.76
  5. Step 5: Solve for x
    x = 5,558,601.76/3,789.16
  6. Step 6: Final answer
    x = 1,466.97

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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.