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Finding the Fourth Proportional to 9,888.42, 14,825.70 and 3,647.64

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Solution

The fourth proportional to 9,888.42, 14,825.70 and 3,647.64 is: 5,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.42 : 14,825.70 = 3,647.64 : x
  2. Step 2: Convert to fraction form
    9,888.42/14,825.70 = 3,647.64/x
  3. Step 3: Cross multiply
    9,888.42x = 14,825.70 × 3,647.64
  4. Step 4: Simplify right side
    9,888.42x = 54,078,871.94
  5. Step 5: Solve for x
    x = 54,078,871.94/9,888.42
  6. Step 6: Final answer
    x = 5,468.91

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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.