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Finding the Fourth Proportional to 7,626.42, 11,384.69 and 6,642

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Solution

The fourth proportional to 7,626.42, 11,384.69 and 6,642 is: 9,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.42 : 11,384.69 = 6,642 : x
  2. Step 2: Convert to fraction form
    7,626.42/11,384.69 = 6,642/x
  3. Step 3: Cross multiply
    7,626.42x = 11,384.69 × 6,642
  4. Step 4: Simplify right side
    7,626.42x = 75,617,077.77
  5. Step 5: Solve for x
    x = 75,617,077.77/7,626.42
  6. Step 6: Final answer
    x = 9,915.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.