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Finding the Fourth Proportional to 4,712.54, 7,070.67 and 1,791.62

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Solution

The fourth proportional to 4,712.54, 7,070.67 and 1,791.62 is: 2,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.54 : 7,070.67 = 1,791.62 : x
  2. Step 2: Convert to fraction form
    4,712.54/7,070.67 = 1,791.62/x
  3. Step 3: Cross multiply
    4,712.54x = 7,070.67 × 1,791.62
  4. Step 4: Simplify right side
    4,712.54x = 12,667,953.79
  5. Step 5: Solve for x
    x = 12,667,953.79/4,712.54
  6. Step 6: Final answer
    x = 2,688.14

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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.