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Finding the Fourth Proportional to 2,842.69, 3,921.80 and 1,780.01

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Solution

The fourth proportional to 2,842.69, 3,921.80 and 1,780.01 is: 2,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.69 : 3,921.80 = 1,780.01 : x
  2. Step 2: Convert to fraction form
    2,842.69/3,921.80 = 1,780.01/x
  3. Step 3: Cross multiply
    2,842.69x = 3,921.80 × 1,780.01
  4. Step 4: Simplify right side
    2,842.69x = 6,980,844.12
  5. Step 5: Solve for x
    x = 6,980,844.12/2,842.69
  6. Step 6: Final answer
    x = 2,455.72

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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.