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Finding the Fourth Proportional to 1,807.35, 2,492.82 and 1,310.82

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Solution

The fourth proportional to 1,807.35, 2,492.82 and 1,310.82 is: 1,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.35 : 2,492.82 = 1,310.82 : x
  2. Step 2: Convert to fraction form
    1,807.35/2,492.82 = 1,310.82/x
  3. Step 3: Cross multiply
    1,807.35x = 2,492.82 × 1,310.82
  4. Step 4: Simplify right side
    1,807.35x = 3,267,638.31
  5. Step 5: Solve for x
    x = 3,267,638.31/1,807.35
  6. Step 6: Final answer
    x = 1,807.97

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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.