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Finding the Fourth Proportional to 3,422, 5,133.24 and 1,370

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Solution

The fourth proportional to 3,422, 5,133.24 and 1,370 is: 2,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422 : 5,133.24 = 1,370 : x
  2. Step 2: Convert to fraction form
    3,422/5,133.24 = 1,370/x
  3. Step 3: Cross multiply
    3,422x = 5,133.24 × 1,370
  4. Step 4: Simplify right side
    3,422x = 7,032,538.80
  5. Step 5: Solve for x
    x = 7,032,538.80/3,422
  6. Step 6: Final answer
    x = 2,055.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.