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Finding the Fourth Proportional to 2,775, 3,830.04 and 1,656.12

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Solution

The fourth proportional to 2,775, 3,830.04 and 1,656.12 is: 2,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775 : 3,830.04 = 1,656.12 : x
  2. Step 2: Convert to fraction form
    2,775/3,830.04 = 1,656.12/x
  3. Step 3: Cross multiply
    2,775x = 3,830.04 × 1,656.12
  4. Step 4: Simplify right side
    2,775x = 6,343,005.84
  5. Step 5: Solve for x
    x = 6,343,005.84/2,775
  6. Step 6: Final answer
    x = 2,285.77

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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.