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Finding the Fourth Proportional to 9,143.88, 13,710.92 and 2,902.20

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Solution

The fourth proportional to 9,143.88, 13,710.92 and 2,902.20 is: 4,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.88 : 13,710.92 = 2,902.20 : x
  2. Step 2: Convert to fraction form
    9,143.88/13,710.92 = 2,902.20/x
  3. Step 3: Cross multiply
    9,143.88x = 13,710.92 × 2,902.20
  4. Step 4: Simplify right side
    9,143.88x = 39,791,817.51
  5. Step 5: Solve for x
    x = 39,791,817.51/9,143.88
  6. Step 6: Final answer
    x = 4,351.74

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1.5x scale

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.