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Finding the Fourth Proportional to 2,506.54, 3,458.81 and 1,387.54

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Solution

The fourth proportional to 2,506.54, 3,458.81 and 1,387.54 is: 1,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.54 : 3,458.81 = 1,387.54 : x
  2. Step 2: Convert to fraction form
    2,506.54/3,458.81 = 1,387.54/x
  3. Step 3: Cross multiply
    2,506.54x = 3,458.81 × 1,387.54
  4. Step 4: Simplify right side
    2,506.54x = 4,799,230.29
  5. Step 5: Solve for x
    x = 4,799,230.29/2,506.54
  6. Step 6: Final answer
    x = 1,914.68

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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.