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Finding the Fourth Proportional to 13,602.99, 18,770.29 and 7,634.31

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Solution

The fourth proportional to 13,602.99, 18,770.29 and 7,634.31 is: 10,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.99 : 18,770.29 = 7,634.31 : x
  2. Step 2: Convert to fraction form
    13,602.99/18,770.29 = 7,634.31/x
  3. Step 3: Cross multiply
    13,602.99x = 18,770.29 × 7,634.31
  4. Step 4: Simplify right side
    13,602.99x = 143,298,212.65
  5. Step 5: Solve for x
    x = 143,298,212.65/13,602.99
  6. Step 6: Final answer
    x = 10,534.32

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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.