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Finding the Fourth Proportional to 7,236, 9,985.74 and 3,924

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Solution

The fourth proportional to 7,236, 9,985.74 and 3,924 is: 5,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236 : 9,985.74 = 3,924 : x
  2. Step 2: Convert to fraction form
    7,236/9,985.74 = 3,924/x
  3. Step 3: Cross multiply
    7,236x = 9,985.74 × 3,924
  4. Step 4: Simplify right side
    7,236x = 39,184,043.76
  5. Step 5: Solve for x
    x = 39,184,043.76/7,236
  6. Step 6: Final answer
    x = 5,415.15

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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.