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Finding the Fourth Proportional to 6,509.83, 9,769.77 and 3,390.63

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Solution

The fourth proportional to 6,509.83, 9,769.77 and 3,390.63 is: 5,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.83 : 9,769.77 = 3,390.63 : x
  2. Step 2: Convert to fraction form
    6,509.83/9,769.77 = 3,390.63/x
  3. Step 3: Cross multiply
    6,509.83x = 9,769.77 × 3,390.63
  4. Step 4: Simplify right side
    6,509.83x = 33,125,675.26
  5. Step 5: Solve for x
    x = 33,125,675.26/6,509.83
  6. Step 6: Final answer
    x = 5,088.56

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1.5x scale

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.