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Finding the Fourth Proportional to 2,622.53, 3,932.58 and 977.90

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Solution

The fourth proportional to 2,622.53, 3,932.58 and 977.90 is: 1,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.53 : 3,932.58 = 977.90 : x
  2. Step 2: Convert to fraction form
    2,622.53/3,932.58 = 977.90/x
  3. Step 3: Cross multiply
    2,622.53x = 3,932.58 × 977.90
  4. Step 4: Simplify right side
    2,622.53x = 3,845,653.99
  5. Step 5: Solve for x
    x = 3,845,653.99/2,622.53
  6. Step 6: Final answer
    x = 1,466.39

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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.