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Finding the Fourth Proportional to 1,892.34, 2,602.62 and 1,518.74

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Solution

The fourth proportional to 1,892.34, 2,602.62 and 1,518.74 is: 2,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.34 : 2,602.62 = 1,518.74 : x
  2. Step 2: Convert to fraction form
    1,892.34/2,602.62 = 1,518.74/x
  3. Step 3: Cross multiply
    1,892.34x = 2,602.62 × 1,518.74
  4. Step 4: Simplify right side
    1,892.34x = 3,952,690.09
  5. Step 5: Solve for x
    x = 3,952,690.09/1,892.34
  6. Step 6: Final answer
    x = 2,088.78

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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.