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Finding the Fourth Proportional to 2,139, 2,951.84 and 1,207.52

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Solution

The fourth proportional to 2,139, 2,951.84 and 1,207.52 is: 1,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139 : 2,951.84 = 1,207.52 : x
  2. Step 2: Convert to fraction form
    2,139/2,951.84 = 1,207.52/x
  3. Step 3: Cross multiply
    2,139x = 2,951.84 × 1,207.52
  4. Step 4: Simplify right side
    2,139x = 3,564,405.84
  5. Step 5: Solve for x
    x = 3,564,405.84/2,139
  6. Step 6: Final answer
    x = 1,666.39

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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.