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Finding the Fourth Proportional to 9,095, 13,639.50 and 2,937.56

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Solution

The fourth proportional to 9,095, 13,639.50 and 2,937.56 is: 4,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095 : 13,639.50 = 2,937.56 : x
  2. Step 2: Convert to fraction form
    9,095/13,639.50 = 2,937.56/x
  3. Step 3: Cross multiply
    9,095x = 13,639.50 × 2,937.56
  4. Step 4: Simplify right side
    9,095x = 40,066,849.62
  5. Step 5: Solve for x
    x = 40,066,849.62/9,095
  6. Step 6: Final answer
    x = 4,405.37

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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.