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Finding the Fourth Proportional to 7,761.83, 10,711.40 and 4,225.04

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Solution

The fourth proportional to 7,761.83, 10,711.40 and 4,225.04 is: 5,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.83 : 10,711.40 = 4,225.04 : x
  2. Step 2: Convert to fraction form
    7,761.83/10,711.40 = 4,225.04/x
  3. Step 3: Cross multiply
    7,761.83x = 10,711.40 × 4,225.04
  4. Step 4: Simplify right side
    7,761.83x = 45,256,018.77
  5. Step 5: Solve for x
    x = 45,256,018.77/7,761.83
  6. Step 6: Final answer
    x = 5,830.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.