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Finding the Fourth Proportional to 2,516.36, 3,774.90 and 977

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Solution

The fourth proportional to 2,516.36, 3,774.90 and 977 is: 1,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.36 : 3,774.90 = 977 : x
  2. Step 2: Convert to fraction form
    2,516.36/3,774.90 = 977/x
  3. Step 3: Cross multiply
    2,516.36x = 3,774.90 × 977
  4. Step 4: Simplify right side
    2,516.36x = 3,688,077.30
  5. Step 5: Solve for x
    x = 3,688,077.30/2,516.36
  6. Step 6: Final answer
    x = 1,465.64

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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.