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Finding the Fourth Proportional to 2,526, 3,485.88 and 1,422

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Solution

The fourth proportional to 2,526, 3,485.88 and 1,422 is: 1,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526 : 3,485.88 = 1,422 : x
  2. Step 2: Convert to fraction form
    2,526/3,485.88 = 1,422/x
  3. Step 3: Cross multiply
    2,526x = 3,485.88 × 1,422
  4. Step 4: Simplify right side
    2,526x = 4,956,921.36
  5. Step 5: Solve for x
    x = 4,956,921.36/2,526
  6. Step 6: Final answer
    x = 1,962.36

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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.