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Finding the Fourth Proportional to 6,509.67, 8,983.26 and 3,715.71

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Solution

The fourth proportional to 6,509.67, 8,983.26 and 3,715.71 is: 5,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.67 : 8,983.26 = 3,715.71 : x
  2. Step 2: Convert to fraction form
    6,509.67/8,983.26 = 3,715.71/x
  3. Step 3: Cross multiply
    6,509.67x = 8,983.26 × 3,715.71
  4. Step 4: Simplify right side
    6,509.67x = 33,379,189.01
  5. Step 5: Solve for x
    x = 33,379,189.01/6,509.67
  6. Step 6: Final answer
    x = 5,127.63

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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.