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Finding the Fourth Proportional to 15,185.34, 20,948.63 and 9,878.22

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Solution

The fourth proportional to 15,185.34, 20,948.63 and 9,878.22 is: 13,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.34 : 20,948.63 = 9,878.22 : x
  2. Step 2: Convert to fraction form
    15,185.34/20,948.63 = 9,878.22/x
  3. Step 3: Cross multiply
    15,185.34x = 20,948.63 × 9,878.22
  4. Step 4: Simplify right side
    15,185.34x = 206,935,126.45
  5. Step 5: Solve for x
    x = 206,935,126.45/15,185.34
  6. Step 6: Final answer
    x = 13,627.30

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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.