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Finding the Fourth Proportional to 13,611.68, 18,784.34 and 7,562.31

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Solution

The fourth proportional to 13,611.68, 18,784.34 and 7,562.31 is: 10,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.68 : 18,784.34 = 7,562.31 : x
  2. Step 2: Convert to fraction form
    13,611.68/18,784.34 = 7,562.31/x
  3. Step 3: Cross multiply
    13,611.68x = 18,784.34 × 7,562.31
  4. Step 4: Simplify right side
    13,611.68x = 142,053,070.53
  5. Step 5: Solve for x
    x = 142,053,070.53/13,611.68
  6. Step 6: Final answer
    x = 10,436.11

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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.