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Finding the Fourth Proportional to 8,048.71, 12,070.76 and 2,782.34

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Solution

The fourth proportional to 8,048.71, 12,070.76 and 2,782.34 is: 4,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.71 : 12,070.76 = 2,782.34 : x
  2. Step 2: Convert to fraction form
    8,048.71/12,070.76 = 2,782.34/x
  3. Step 3: Cross multiply
    8,048.71x = 12,070.76 × 2,782.34
  4. Step 4: Simplify right side
    8,048.71x = 33,584,997.28
  5. Step 5: Solve for x
    x = 33,584,997.28/8,048.71
  6. Step 6: Final answer
    x = 4,172.72

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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.