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Finding the Fourth Proportional to 2,809.04, 3,877.10 and 1,877

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Solution

The fourth proportional to 2,809.04, 3,877.10 and 1,877 is: 2,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.04 : 3,877.10 = 1,877 : x
  2. Step 2: Convert to fraction form
    2,809.04/3,877.10 = 1,877/x
  3. Step 3: Cross multiply
    2,809.04x = 3,877.10 × 1,877
  4. Step 4: Simplify right side
    2,809.04x = 7,277,316.70
  5. Step 5: Solve for x
    x = 7,277,316.70/2,809.04
  6. Step 6: Final answer
    x = 2,590.68

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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.