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Finding the Fourth Proportional to 2,365.91, 3,548.87 and 977.72

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Solution

The fourth proportional to 2,365.91, 3,548.87 and 977.72 is: 1,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.91 : 3,548.87 = 977.72 : x
  2. Step 2: Convert to fraction form
    2,365.91/3,548.87 = 977.72/x
  3. Step 3: Cross multiply
    2,365.91x = 3,548.87 × 977.72
  4. Step 4: Simplify right side
    2,365.91x = 3,469,801.18
  5. Step 5: Solve for x
    x = 3,469,801.18/2,365.91
  6. Step 6: Final answer
    x = 1,466.58

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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.