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Finding the Fourth Proportional to 9,491.96, 13,103.70 and 6,509

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Solution

The fourth proportional to 9,491.96, 13,103.70 and 6,509 is: 8,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.96 : 13,103.70 = 6,509 : x
  2. Step 2: Convert to fraction form
    9,491.96/13,103.70 = 6,509/x
  3. Step 3: Cross multiply
    9,491.96x = 13,103.70 × 6,509
  4. Step 4: Simplify right side
    9,491.96x = 85,291,983.30
  5. Step 5: Solve for x
    x = 85,291,983.30/9,491.96
  6. Step 6: Final answer
    x = 8,985.71

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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.