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Finding the Fourth Proportional to 6,509.91, 8,983.68 and 3,525.74

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Solution

The fourth proportional to 6,509.91, 8,983.68 and 3,525.74 is: 4,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.91 : 8,983.68 = 3,525.74 : x
  2. Step 2: Convert to fraction form
    6,509.91/8,983.68 = 3,525.74/x
  3. Step 3: Cross multiply
    6,509.91x = 8,983.68 × 3,525.74
  4. Step 4: Simplify right side
    6,509.91x = 31,674,175.75
  5. Step 5: Solve for x
    x = 31,674,175.75/6,509.91
  6. Step 6: Final answer
    x = 4,865.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.