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Finding the Fourth Proportional to 9,145.88, 13,718.81 and 2,989.88

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Solution

The fourth proportional to 9,145.88, 13,718.81 and 2,989.88 is: 4,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.88 : 13,718.81 = 2,989.88 : x
  2. Step 2: Convert to fraction form
    9,145.88/13,718.81 = 2,989.88/x
  3. Step 3: Cross multiply
    9,145.88x = 13,718.81 × 2,989.88
  4. Step 4: Simplify right side
    9,145.88x = 41,017,595.64
  5. Step 5: Solve for x
    x = 41,017,595.64/9,145.88
  6. Step 6: Final answer
    x = 4,484.82

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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.