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Finding the Fourth Proportional to 1,892.59, 2,838.77 and 906.11

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Solution

The fourth proportional to 1,892.59, 2,838.77 and 906.11 is: 1,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.59 : 2,838.77 = 906.11 : x
  2. Step 2: Convert to fraction form
    1,892.59/2,838.77 = 906.11/x
  3. Step 3: Cross multiply
    1,892.59x = 2,838.77 × 906.11
  4. Step 4: Simplify right side
    1,892.59x = 2,572,219.16
  5. Step 5: Solve for x
    x = 2,572,219.16/1,892.59
  6. Step 6: Final answer
    x = 1,359.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.