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Finding the Fourth Proportional to 13,563.12, 18,715.80 and 7,594.32

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Solution

The fourth proportional to 13,563.12, 18,715.80 and 7,594.32 is: 10,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.12 : 18,715.80 = 7,594.32 : x
  2. Step 2: Convert to fraction form
    13,563.12/18,715.80 = 7,594.32/x
  3. Step 3: Cross multiply
    13,563.12x = 18,715.80 × 7,594.32
  4. Step 4: Simplify right side
    13,563.12x = 142,133,774.26
  5. Step 5: Solve for x
    x = 142,133,774.26/13,563.12
  6. Step 6: Final answer
    x = 10,479.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.