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Finding the Fourth Proportional to 2,420.64, 3,340.53 and 1,372.68

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Solution

The fourth proportional to 2,420.64, 3,340.53 and 1,372.68 is: 1,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.64 : 3,340.53 = 1,372.68 : x
  2. Step 2: Convert to fraction form
    2,420.64/3,340.53 = 1,372.68/x
  3. Step 3: Cross multiply
    2,420.64x = 3,340.53 × 1,372.68
  4. Step 4: Simplify right side
    2,420.64x = 4,585,478.72
  5. Step 5: Solve for x
    x = 4,585,478.72/2,420.64
  6. Step 6: Final answer
    x = 1,894.32

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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.