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Finding the Fourth Proportional to 11,657.21, 17,461.05 and 9,426.47

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Solution

The fourth proportional to 11,657.21, 17,461.05 and 9,426.47 is: 14,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.21 : 17,461.05 = 9,426.47 : x
  2. Step 2: Convert to fraction form
    11,657.21/17,461.05 = 9,426.47/x
  3. Step 3: Cross multiply
    11,657.21x = 17,461.05 × 9,426.47
  4. Step 4: Simplify right side
    11,657.21x = 164,595,976.69
  5. Step 5: Solve for x
    x = 164,595,976.69/11,657.21
  6. Step 6: Final answer
    x = 14,119.68

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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.