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Finding the Fourth Proportional to 9,921.88, 14,871.48 and 4,071.25

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Solution

The fourth proportional to 9,921.88, 14,871.48 and 4,071.25 is: 6,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.88 : 14,871.48 = 4,071.25 : x
  2. Step 2: Convert to fraction form
    9,921.88/14,871.48 = 4,071.25/x
  3. Step 3: Cross multiply
    9,921.88x = 14,871.48 × 4,071.25
  4. Step 4: Simplify right side
    9,921.88x = 60,545,512.95
  5. Step 5: Solve for x
    x = 60,545,512.95/9,921.88
  6. Step 6: Final answer
    x = 6,102.22

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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.