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Finding the Fourth Proportional to 19,102.60, 28,653.90 and 5,251.60

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Solution

The fourth proportional to 19,102.60, 28,653.90 and 5,251.60 is: 7,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.60 : 28,653.90 = 5,251.60 : x
  2. Step 2: Convert to fraction form
    19,102.60/28,653.90 = 5,251.60/x
  3. Step 3: Cross multiply
    19,102.60x = 28,653.90 × 5,251.60
  4. Step 4: Simplify right side
    19,102.60x = 150,478,821.24
  5. Step 5: Solve for x
    x = 150,478,821.24/19,102.60
  6. Step 6: Final answer
    x = 7,877.40

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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.