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Finding the Fourth Proportional to 1,805.28, 2,492.58 and 1,411.62

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Solution

The fourth proportional to 1,805.28, 2,492.58 and 1,411.62 is: 1,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.28 : 2,492.58 = 1,411.62 : x
  2. Step 2: Convert to fraction form
    1,805.28/2,492.58 = 1,411.62/x
  3. Step 3: Cross multiply
    1,805.28x = 2,492.58 × 1,411.62
  4. Step 4: Simplify right side
    1,805.28x = 3,518,575.78
  5. Step 5: Solve for x
    x = 3,518,575.78/1,805.28
  6. Step 6: Final answer
    x = 1,949.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.