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Finding the Fourth Proportional to 13,636, 20,458.80 and 6,715.36

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Solution

The fourth proportional to 13,636, 20,458.80 and 6,715.36 is: 10,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636 : 20,458.80 = 6,715.36 : x
  2. Step 2: Convert to fraction form
    13,636/20,458.80 = 6,715.36/x
  3. Step 3: Cross multiply
    13,636x = 20,458.80 × 6,715.36
  4. Step 4: Simplify right side
    13,636x = 137,388,207.17
  5. Step 5: Solve for x
    x = 137,388,207.17/13,636
  6. Step 6: Final answer
    x = 10,075.40

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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.