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Finding the Fourth Proportional to 13,685, 20,535.19 and 7,445.45

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Solution

The fourth proportional to 13,685, 20,535.19 and 7,445.45 is: 11,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685 : 20,535.19 = 7,445.45 : x
  2. Step 2: Convert to fraction form
    13,685/20,535.19 = 7,445.45/x
  3. Step 3: Cross multiply
    13,685x = 20,535.19 × 7,445.45
  4. Step 4: Simplify right side
    13,685x = 152,893,730.39
  5. Step 5: Solve for x
    x = 152,893,730.39/13,685
  6. Step 6: Final answer
    x = 11,172.36

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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.