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Finding the Fourth Proportional to 3,186.98, 4,779.66 and 1,431

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Solution

The fourth proportional to 3,186.98, 4,779.66 and 1,431 is: 2,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.98 : 4,779.66 = 1,431 : x
  2. Step 2: Convert to fraction form
    3,186.98/4,779.66 = 1,431/x
  3. Step 3: Cross multiply
    3,186.98x = 4,779.66 × 1,431
  4. Step 4: Simplify right side
    3,186.98x = 6,839,693.46
  5. Step 5: Solve for x
    x = 6,839,693.46/3,186.98
  6. Step 6: Final answer
    x = 2,146.14

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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.