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Finding the Fourth Proportional to 19,210, 28,819.86 and 5,359

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Solution

The fourth proportional to 19,210, 28,819.86 and 5,359 is: 8,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210 : 28,819.86 = 5,359 : x
  2. Step 2: Convert to fraction form
    19,210/28,819.86 = 5,359/x
  3. Step 3: Cross multiply
    19,210x = 28,819.86 × 5,359
  4. Step 4: Simplify right side
    19,210x = 154,445,629.74
  5. Step 5: Solve for x
    x = 154,445,629.74/19,210
  6. Step 6: Final answer
    x = 8,039.86

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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.