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Finding the Fourth Proportional to 6,509.95, 8,983.74 and 3,525.81

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Solution

The fourth proportional to 6,509.95, 8,983.74 and 3,525.81 is: 4,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.95 : 8,983.74 = 3,525.81 : x
  2. Step 2: Convert to fraction form
    6,509.95/8,983.74 = 3,525.81/x
  3. Step 3: Cross multiply
    6,509.95x = 8,983.74 × 3,525.81
  4. Step 4: Simplify right side
    6,509.95x = 31,674,960.33
  5. Step 5: Solve for x
    x = 31,674,960.33/6,509.95
  6. Step 6: Final answer
    x = 4,865.62

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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.