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Finding the Fourth Proportional to 2,091, 2,885.72 and 1,207.08

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Solution

The fourth proportional to 2,091, 2,885.72 and 1,207.08 is: 1,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 2,885.72 = 1,207.08 : x
  2. Step 2: Convert to fraction form
    2,091/2,885.72 = 1,207.08/x
  3. Step 3: Cross multiply
    2,091x = 2,885.72 × 1,207.08
  4. Step 4: Simplify right side
    2,091x = 3,483,288.86
  5. Step 5: Solve for x
    x = 3,483,288.86/2,091
  6. Step 6: Final answer
    x = 1,665.85

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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.