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Finding the Fourth Proportional to 19,289.52, 28,947.18 and 6,809.64

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Solution

The fourth proportional to 19,289.52, 28,947.18 and 6,809.64 is: 10,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,289.52 : 28,947.18 = 6,809.64 : x
  2. Step 2: Convert to fraction form
    19,289.52/28,947.18 = 6,809.64/x
  3. Step 3: Cross multiply
    19,289.52x = 28,947.18 × 6,809.64
  4. Step 4: Simplify right side
    19,289.52x = 197,119,874.82
  5. Step 5: Solve for x
    x = 197,119,874.82/19,289.52
  6. Step 6: Final answer
    x = 10,219.01

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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.