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Finding the Fourth Proportional to 2,453.63, 3,386.00 and 1,406.39

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Solution

The fourth proportional to 2,453.63, 3,386.00 and 1,406.39 is: 1,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.63 : 3,386.00 = 1,406.39 : x
  2. Step 2: Convert to fraction form
    2,453.63/3,386.00 = 1,406.39/x
  3. Step 3: Cross multiply
    2,453.63x = 3,386.00 × 1,406.39
  4. Step 4: Simplify right side
    2,453.63x = 4,762,023.13
  5. Step 5: Solve for x
    x = 4,762,023.13/2,453.63
  6. Step 6: Final answer
    x = 1,940.81

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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.