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Finding the Fourth Proportional to 7,548, 11,311.08 and 6,621.36

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Solution

The fourth proportional to 7,548, 11,311.08 and 6,621.36 is: 9,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548 : 11,311.08 = 6,621.36 : x
  2. Step 2: Convert to fraction form
    7,548/11,311.08 = 6,621.36/x
  3. Step 3: Cross multiply
    7,548x = 11,311.08 × 6,621.36
  4. Step 4: Simplify right side
    7,548x = 74,894,732.67
  5. Step 5: Solve for x
    x = 74,894,732.67/7,548
  6. Step 6: Final answer
    x = 9,922.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.