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Finding the Fourth Proportional to 10,566.40, 15,849.60 and 10,080.40

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Solution

The fourth proportional to 10,566.40, 15,849.60 and 10,080.40 is: 15,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.40 : 15,849.60 = 10,080.40 : x
  2. Step 2: Convert to fraction form
    10,566.40/15,849.60 = 10,080.40/x
  3. Step 3: Cross multiply
    10,566.40x = 15,849.60 × 10,080.40
  4. Step 4: Simplify right side
    10,566.40x = 159,770,307.84
  5. Step 5: Solve for x
    x = 159,770,307.84/10,566.40
  6. Step 6: Final answer
    x = 15,120.60

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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.