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Finding the Fourth Proportional to 7,978,948.46, 11,003,474.67 and 6,352,724.06

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Solution

The fourth proportional to 7,978,948.46, 11,003,474.67 and 6,352,724.06 is: 8,760,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,948.46 : 11,003,474.67 = 6,352,724.06 : x
  2. Step 2: Convert to fraction form
    7,978,948.46/11,003,474.67 = 6,352,724.06/x
  3. Step 3: Cross multiply
    7,978,948.46x = 11,003,474.67 × 6,352,724.06
  4. Step 4: Simplify right side
    7,978,948.46x = 69,902,038,279,709.55
  5. Step 5: Solve for x
    x = 69,902,038,279,709.55/7,978,948.46
  6. Step 6: Final answer
    x = 8,760,808.35

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Why These Related Problems?

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