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Finding the Fourth Proportional to 19,225, 28,838.58 and 5,375.08

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Solution

The fourth proportional to 19,225, 28,838.58 and 5,375.08 is: 8,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,225 : 28,838.58 = 5,375.08 : x
  2. Step 2: Convert to fraction form
    19,225/28,838.58 = 5,375.08/x
  3. Step 3: Cross multiply
    19,225x = 28,838.58 × 5,375.08
  4. Step 4: Simplify right side
    19,225x = 155,009,674.59
  5. Step 5: Solve for x
    x = 155,009,674.59/19,225
  6. Step 6: Final answer
    x = 8,062.92

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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.