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Finding the Fourth Proportional to 7,852.78, 11,776.65 and 3,470.14

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Solution

The fourth proportional to 7,852.78, 11,776.65 and 3,470.14 is: 5,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.78 : 11,776.65 = 3,470.14 : x
  2. Step 2: Convert to fraction form
    7,852.78/11,776.65 = 3,470.14/x
  3. Step 3: Cross multiply
    7,852.78x = 11,776.65 × 3,470.14
  4. Step 4: Simplify right side
    7,852.78x = 40,866,624.23
  5. Step 5: Solve for x
    x = 40,866,624.23/7,852.78
  6. Step 6: Final answer
    x = 5,204.10

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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.