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Finding the Fourth Proportional to 10,164.61, 15,235.98 and 6,643.54

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Solution

The fourth proportional to 10,164.61, 15,235.98 and 6,643.54 is: 9,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.61 : 15,235.98 = 6,643.54 : x
  2. Step 2: Convert to fraction form
    10,164.61/15,235.98 = 6,643.54/x
  3. Step 3: Cross multiply
    10,164.61x = 15,235.98 × 6,643.54
  4. Step 4: Simplify right side
    10,164.61x = 101,220,842.57
  5. Step 5: Solve for x
    x = 101,220,842.57/10,164.61
  6. Step 6: Final answer
    x = 9,958.16

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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.