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Finding the Fourth Proportional to 2,911.38, 4,017.78 and 1,585

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Solution

The fourth proportional to 2,911.38, 4,017.78 and 1,585 is: 2,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.38 : 4,017.78 = 1,585 : x
  2. Step 2: Convert to fraction form
    2,911.38/4,017.78 = 1,585/x
  3. Step 3: Cross multiply
    2,911.38x = 4,017.78 × 1,585
  4. Step 4: Simplify right side
    2,911.38x = 6,368,181.30
  5. Step 5: Solve for x
    x = 6,368,181.30/2,911.38
  6. Step 6: Final answer
    x = 2,187.34

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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.