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Finding the Fourth Proportional to 6,509.60, 8,983.20 and 3,525.44

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Solution

The fourth proportional to 6,509.60, 8,983.20 and 3,525.44 is: 4,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.60 : 8,983.20 = 3,525.44 : x
  2. Step 2: Convert to fraction form
    6,509.60/8,983.20 = 3,525.44/x
  3. Step 3: Cross multiply
    6,509.60x = 8,983.20 × 3,525.44
  4. Step 4: Simplify right side
    6,509.60x = 31,669,732.61
  5. Step 5: Solve for x
    x = 31,669,732.61/6,509.60
  6. Step 6: Final answer
    x = 4,865.08

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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.