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Finding the Fourth Proportional to 3,317.75, 4,974.90 and 977.45

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Solution

The fourth proportional to 3,317.75, 4,974.90 and 977.45 is: 1,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.75 : 4,974.90 = 977.45 : x
  2. Step 2: Convert to fraction form
    3,317.75/4,974.90 = 977.45/x
  3. Step 3: Cross multiply
    3,317.75x = 4,974.90 × 977.45
  4. Step 4: Simplify right side
    3,317.75x = 4,862,691.13
  5. Step 5: Solve for x
    x = 4,862,691.13/3,317.75
  6. Step 6: Final answer
    x = 1,465.66

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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.