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Finding the Fourth Proportional to 1,774.57, 2,448.81 and 977.86

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Solution

The fourth proportional to 1,774.57, 2,448.81 and 977.86 is: 1,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.57 : 2,448.81 = 977.86 : x
  2. Step 2: Convert to fraction form
    1,774.57/2,448.81 = 977.86/x
  3. Step 3: Cross multiply
    1,774.57x = 2,448.81 × 977.86
  4. Step 4: Simplify right side
    1,774.57x = 2,394,593.35
  5. Step 5: Solve for x
    x = 2,394,593.35/1,774.57
  6. Step 6: Final answer
    x = 1,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.