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Finding the Fourth Proportional to 10,351.84, 14,302.24 and 7,222

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Solution

The fourth proportional to 10,351.84, 14,302.24 and 7,222 is: 9,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.84 : 14,302.24 = 7,222 : x
  2. Step 2: Convert to fraction form
    10,351.84/14,302.24 = 7,222/x
  3. Step 3: Cross multiply
    10,351.84x = 14,302.24 × 7,222
  4. Step 4: Simplify right side
    10,351.84x = 103,290,777.28
  5. Step 5: Solve for x
    x = 103,290,777.28/10,351.84
  6. Step 6: Final answer
    x = 9,978.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.