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Finding the Fourth Proportional to 13,602.58, 20,377.42 and 7,661.39

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Solution

The fourth proportional to 13,602.58, 20,377.42 and 7,661.39 is: 11,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.58 : 20,377.42 = 7,661.39 : x
  2. Step 2: Convert to fraction form
    13,602.58/20,377.42 = 7,661.39/x
  3. Step 3: Cross multiply
    13,602.58x = 20,377.42 × 7,661.39
  4. Step 4: Simplify right side
    13,602.58x = 156,119,283.87
  5. Step 5: Solve for x
    x = 156,119,283.87/13,602.58
  6. Step 6: Final answer
    x = 11,477.18

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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.