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Finding the Fourth Proportional to 2,168.60, 3,238.05 and 1,877

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Solution

The fourth proportional to 2,168.60, 3,238.05 and 1,877 is: 2,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.60 : 3,238.05 = 1,877 : x
  2. Step 2: Convert to fraction form
    2,168.60/3,238.05 = 1,877/x
  3. Step 3: Cross multiply
    2,168.60x = 3,238.05 × 1,877
  4. Step 4: Simplify right side
    2,168.60x = 6,077,810.47
  5. Step 5: Solve for x
    x = 6,077,810.47/2,168.60
  6. Step 6: Final answer
    x = 2,802.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.