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Finding the Fourth Proportional to 4,647.84, 6,971.80 and 1,185.12

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Solution

The fourth proportional to 4,647.84, 6,971.80 and 1,185.12 is: 1,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.84 : 6,971.80 = 1,185.12 : x
  2. Step 2: Convert to fraction form
    4,647.84/6,971.80 = 1,185.12/x
  3. Step 3: Cross multiply
    4,647.84x = 6,971.80 × 1,185.12
  4. Step 4: Simplify right side
    4,647.84x = 8,262,419.62
  5. Step 5: Solve for x
    x = 8,262,419.62/4,647.84
  6. Step 6: Final answer
    x = 1,777.69

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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.