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Finding the Fourth Proportional to 15,141.14, 22,715.50 and 5,280.50

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Solution

The fourth proportional to 15,141.14, 22,715.50 and 5,280.50 is: 7,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.14 : 22,715.50 = 5,280.50 : x
  2. Step 2: Convert to fraction form
    15,141.14/22,715.50 = 5,280.50/x
  3. Step 3: Cross multiply
    15,141.14x = 22,715.50 × 5,280.50
  4. Step 4: Simplify right side
    15,141.14x = 119,949,197.75
  5. Step 5: Solve for x
    x = 119,949,197.75/15,141.14
  6. Step 6: Final answer
    x = 7,922.07

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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.