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Finding the Fourth Proportional to 2,139, 2,950.20 and 1,476.96

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Solution

The fourth proportional to 2,139, 2,950.20 and 1,476.96 is: 2,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139 : 2,950.20 = 1,476.96 : x
  2. Step 2: Convert to fraction form
    2,139/2,950.20 = 1,476.96/x
  3. Step 3: Cross multiply
    2,139x = 2,950.20 × 1,476.96
  4. Step 4: Simplify right side
    2,139x = 4,357,327.39
  5. Step 5: Solve for x
    x = 4,357,327.39/2,139
  6. Step 6: Final answer
    x = 2,037.09

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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.