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Finding the Fourth Proportional to 6,139.12, 9,208.80 and 1,522

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Solution

The fourth proportional to 6,139.12, 9,208.80 and 1,522 is: 2,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.12 : 9,208.80 = 1,522 : x
  2. Step 2: Convert to fraction form
    6,139.12/9,208.80 = 1,522/x
  3. Step 3: Cross multiply
    6,139.12x = 9,208.80 × 1,522
  4. Step 4: Simplify right side
    6,139.12x = 14,015,793.60
  5. Step 5: Solve for x
    x = 14,015,793.60/6,139.12
  6. Step 6: Final answer
    x = 2,283.03

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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.