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Finding the Fourth Proportional to 9,145, 13,719.66 and 2,989

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Solution

The fourth proportional to 9,145, 13,719.66 and 2,989 is: 4,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145 : 13,719.66 = 2,989 : x
  2. Step 2: Convert to fraction form
    9,145/13,719.66 = 2,989/x
  3. Step 3: Cross multiply
    9,145x = 13,719.66 × 2,989
  4. Step 4: Simplify right side
    9,145x = 41,008,063.74
  5. Step 5: Solve for x
    x = 41,008,063.74/9,145
  6. Step 6: Final answer
    x = 4,484.21

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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.