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Finding the Fourth Proportional to 13,402.41, 18,495.41 and 7,434.09

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Solution

The fourth proportional to 13,402.41, 18,495.41 and 7,434.09 is: 10,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.41 : 18,495.41 = 7,434.09 : x
  2. Step 2: Convert to fraction form
    13,402.41/18,495.41 = 7,434.09/x
  3. Step 3: Cross multiply
    13,402.41x = 18,495.41 × 7,434.09
  4. Step 4: Simplify right side
    13,402.41x = 137,496,505.36
  5. Step 5: Solve for x
    x = 137,496,505.36/13,402.41
  6. Step 6: Final answer
    x = 10,259.09

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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.