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Finding the Fourth Proportional to 11,491.64, 17,246.14 and 9,210.68

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Solution

The fourth proportional to 11,491.64, 17,246.14 and 9,210.68 is: 13,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.64 : 17,246.14 = 9,210.68 : x
  2. Step 2: Convert to fraction form
    11,491.64/17,246.14 = 9,210.68/x
  3. Step 3: Cross multiply
    11,491.64x = 17,246.14 × 9,210.68
  4. Step 4: Simplify right side
    11,491.64x = 158,848,676.78
  5. Step 5: Solve for x
    x = 158,848,676.78/11,491.64
  6. Step 6: Final answer
    x = 13,822.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.