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Finding the Fourth Proportional to 2,945.81, 4,066.13 and 1,897.88

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Solution

The fourth proportional to 2,945.81, 4,066.13 and 1,897.88 is: 2,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.81 : 4,066.13 = 1,897.88 : x
  2. Step 2: Convert to fraction form
    2,945.81/4,066.13 = 1,897.88/x
  3. Step 3: Cross multiply
    2,945.81x = 4,066.13 × 1,897.88
  4. Step 4: Simplify right side
    2,945.81x = 7,717,011.22
  5. Step 5: Solve for x
    x = 7,717,011.22/2,945.81
  6. Step 6: Final answer
    x = 2,619.65

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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.