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Finding the Fourth Proportional to 2,810.34, 3,877.20 and 1,763.01

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Solution

The fourth proportional to 2,810.34, 3,877.20 and 1,763.01 is: 2,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.34 : 3,877.20 = 1,763.01 : x
  2. Step 2: Convert to fraction form
    2,810.34/3,877.20 = 1,763.01/x
  3. Step 3: Cross multiply
    2,810.34x = 3,877.20 × 1,763.01
  4. Step 4: Simplify right side
    2,810.34x = 6,835,542.37
  5. Step 5: Solve for x
    x = 6,835,542.37/2,810.34
  6. Step 6: Final answer
    x = 2,432.28

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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.