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Finding the Fourth Proportional to 2,622.25, 3,931.04 and 977.68

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Solution

The fourth proportional to 2,622.25, 3,931.04 and 977.68 is: 1,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.25 : 3,931.04 = 977.68 : x
  2. Step 2: Convert to fraction form
    2,622.25/3,931.04 = 977.68/x
  3. Step 3: Cross multiply
    2,622.25x = 3,931.04 × 977.68
  4. Step 4: Simplify right side
    2,622.25x = 3,843,291.80
  5. Step 5: Solve for x
    x = 3,843,291.80/2,622.25
  6. Step 6: Final answer
    x = 1,465.65

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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.