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Finding the Fourth Proportional to 3,310.71, 4,568.76 and 1,913.46

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Solution

The fourth proportional to 3,310.71, 4,568.76 and 1,913.46 is: 2,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.71 : 4,568.76 = 1,913.46 : x
  2. Step 2: Convert to fraction form
    3,310.71/4,568.76 = 1,913.46/x
  3. Step 3: Cross multiply
    3,310.71x = 4,568.76 × 1,913.46
  4. Step 4: Simplify right side
    3,310.71x = 8,742,139.51
  5. Step 5: Solve for x
    x = 8,742,139.51/3,310.71
  6. Step 6: Final answer
    x = 2,640.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.