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Finding the Fourth Proportional to 9,643.20, 14,473 and 6,876.64

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Solution

The fourth proportional to 9,643.20, 14,473 and 6,876.64 is: 10,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.20 : 14,473 = 6,876.64 : x
  2. Step 2: Convert to fraction form
    9,643.20/14,473 = 6,876.64/x
  3. Step 3: Cross multiply
    9,643.20x = 14,473 × 6,876.64
  4. Step 4: Simplify right side
    9,643.20x = 99,525,610.72
  5. Step 5: Solve for x
    x = 99,525,610.72/9,643.20
  6. Step 6: Final answer
    x = 10,320.81

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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.