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Finding the Fourth Proportional to 7,852.12, 11,774.38 and 4,566.08

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Solution

The fourth proportional to 7,852.12, 11,774.38 and 4,566.08 is: 6,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.12 : 11,774.38 = 4,566.08 : x
  2. Step 2: Convert to fraction form
    7,852.12/11,774.38 = 4,566.08/x
  3. Step 3: Cross multiply
    7,852.12x = 11,774.38 × 4,566.08
  4. Step 4: Simplify right side
    7,852.12x = 53,762,761.03
  5. Step 5: Solve for x
    x = 53,762,761.03/7,852.12
  6. Step 6: Final answer
    x = 6,846.91

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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.