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Finding the Fourth Proportional to 3,434.63, 4,739.78 and 1,862.73

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Solution

The fourth proportional to 3,434.63, 4,739.78 and 1,862.73 is: 2,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.63 : 4,739.78 = 1,862.73 : x
  2. Step 2: Convert to fraction form
    3,434.63/4,739.78 = 1,862.73/x
  3. Step 3: Cross multiply
    3,434.63x = 4,739.78 × 1,862.73
  4. Step 4: Simplify right side
    3,434.63x = 8,828,935.06
  5. Step 5: Solve for x
    x = 8,828,935.06/3,434.63
  6. Step 6: Final answer
    x = 2,570.57

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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.