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Finding the Fourth Proportional to 7,864.30, 10,852.23 and 4,279.22

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Solution

The fourth proportional to 7,864.30, 10,852.23 and 4,279.22 is: 5,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.30 : 10,852.23 = 4,279.22 : x
  2. Step 2: Convert to fraction form
    7,864.30/10,852.23 = 4,279.22/x
  3. Step 3: Cross multiply
    7,864.30x = 10,852.23 × 4,279.22
  4. Step 4: Simplify right side
    7,864.30x = 46,439,079.66
  5. Step 5: Solve for x
    x = 46,439,079.66/7,864.30
  6. Step 6: Final answer
    x = 5,905.05

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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.