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Finding the Fourth Proportional to 15,506, 21,405.84 and 9,542.96

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Solution

The fourth proportional to 15,506, 21,405.84 and 9,542.96 is: 13,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506 : 21,405.84 = 9,542.96 : x
  2. Step 2: Convert to fraction form
    15,506/21,405.84 = 9,542.96/x
  3. Step 3: Cross multiply
    15,506x = 21,405.84 × 9,542.96
  4. Step 4: Simplify right side
    15,506x = 204,275,074.89
  5. Step 5: Solve for x
    x = 204,275,074.89/15,506
  6. Step 6: Final answer
    x = 13,173.94

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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.