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Finding the Fourth Proportional to 10,648.60, 15,972.90 and 4,816.60

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Solution

The fourth proportional to 10,648.60, 15,972.90 and 4,816.60 is: 7,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.60 : 15,972.90 = 4,816.60 : x
  2. Step 2: Convert to fraction form
    10,648.60/15,972.90 = 4,816.60/x
  3. Step 3: Cross multiply
    10,648.60x = 15,972.90 × 4,816.60
  4. Step 4: Simplify right side
    10,648.60x = 76,935,070.14
  5. Step 5: Solve for x
    x = 76,935,070.14/10,648.60
  6. Step 6: Final answer
    x = 7,224.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.