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Finding the Fourth Proportional to 3,256.97, 4,885.64 and 917.15

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Solution

The fourth proportional to 3,256.97, 4,885.64 and 917.15 is: 1,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.97 : 4,885.64 = 917.15 : x
  2. Step 2: Convert to fraction form
    3,256.97/4,885.64 = 917.15/x
  3. Step 3: Cross multiply
    3,256.97x = 4,885.64 × 917.15
  4. Step 4: Simplify right side
    3,256.97x = 4,480,835.71
  5. Step 5: Solve for x
    x = 4,480,835.71/3,256.97
  6. Step 6: Final answer
    x = 1,375.77

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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.