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Finding the Fourth Proportional to 17,842.80, 26,764.20 and 10,455.60

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Solution

The fourth proportional to 17,842.80, 26,764.20 and 10,455.60 is: 15,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.80 : 26,764.20 = 10,455.60 : x
  2. Step 2: Convert to fraction form
    17,842.80/26,764.20 = 10,455.60/x
  3. Step 3: Cross multiply
    17,842.80x = 26,764.20 × 10,455.60
  4. Step 4: Simplify right side
    17,842.80x = 279,835,769.52
  5. Step 5: Solve for x
    x = 279,835,769.52/17,842.80
  6. Step 6: Final answer
    x = 15,683.40

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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.