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Finding the Fourth Proportional to 9,140.50, 13,710.83 and 2,215

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Solution

The fourth proportional to 9,140.50, 13,710.83 and 2,215 is: 3,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.50 : 13,710.83 = 2,215 : x
  2. Step 2: Convert to fraction form
    9,140.50/13,710.83 = 2,215/x
  3. Step 3: Cross multiply
    9,140.50x = 13,710.83 × 2,215
  4. Step 4: Simplify right side
    9,140.50x = 30,369,488.45
  5. Step 5: Solve for x
    x = 30,369,488.45/9,140.50
  6. Step 6: Final answer
    x = 3,322.52

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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.