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Finding the Fourth Proportional to 13,135.40, 19,664.70 and 11,599.40

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Solution

The fourth proportional to 13,135.40, 19,664.70 and 11,599.40 is: 17,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.40 : 19,664.70 = 11,599.40 : x
  2. Step 2: Convert to fraction form
    13,135.40/19,664.70 = 11,599.40/x
  3. Step 3: Cross multiply
    13,135.40x = 19,664.70 × 11,599.40
  4. Step 4: Simplify right side
    13,135.40x = 228,098,721.18
  5. Step 5: Solve for x
    x = 228,098,721.18/13,135.40
  6. Step 6: Final answer
    x = 17,365.19

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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.