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Finding the Fourth Proportional to 8,914.32, 13,362.48 and 6,443.10

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Solution

The fourth proportional to 8,914.32, 13,362.48 and 6,443.10 is: 9,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.32 : 13,362.48 = 6,443.10 : x
  2. Step 2: Convert to fraction form
    8,914.32/13,362.48 = 6,443.10/x
  3. Step 3: Cross multiply
    8,914.32x = 13,362.48 × 6,443.10
  4. Step 4: Simplify right side
    8,914.32x = 86,095,794.89
  5. Step 5: Solve for x
    x = 86,095,794.89/8,914.32
  6. Step 6: Final answer
    x = 9,658.14

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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.