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Finding the Fourth Proportional to 3,253.74, 4,880.50 and 913.76

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Solution

The fourth proportional to 3,253.74, 4,880.50 and 913.76 is: 1,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.74 : 4,880.50 = 913.76 : x
  2. Step 2: Convert to fraction form
    3,253.74/4,880.50 = 913.76/x
  3. Step 3: Cross multiply
    3,253.74x = 4,880.50 × 913.76
  4. Step 4: Simplify right side
    3,253.74x = 4,459,615.60
  5. Step 5: Solve for x
    x = 4,459,615.60/3,253.74
  6. Step 6: Final answer
    x = 1,370.61

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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.