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Finding the Fourth Proportional to 6,509.76, 9,769.50 and 3,590.52

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Solution

The fourth proportional to 6,509.76, 9,769.50 and 3,590.52 is: 5,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.76 : 9,769.50 = 3,590.52 : x
  2. Step 2: Convert to fraction form
    6,509.76/9,769.50 = 3,590.52/x
  3. Step 3: Cross multiply
    6,509.76x = 9,769.50 × 3,590.52
  4. Step 4: Simplify right side
    6,509.76x = 35,077,585.14
  5. Step 5: Solve for x
    x = 35,077,585.14/6,509.76
  6. Step 6: Final answer
    x = 5,388.46

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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.