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Finding the Fourth Proportional to 9,491.40, 13,031.73 and 7,709.40

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Solution

The fourth proportional to 9,491.40, 13,031.73 and 7,709.40 is: 10,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.40 : 13,031.73 = 7,709.40 : x
  2. Step 2: Convert to fraction form
    9,491.40/13,031.73 = 7,709.40/x
  3. Step 3: Cross multiply
    9,491.40x = 13,031.73 × 7,709.40
  4. Step 4: Simplify right side
    9,491.40x = 100,466,819.26
  5. Step 5: Solve for x
    x = 100,466,819.26/9,491.40
  6. Step 6: Final answer
    x = 10,585.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.