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Finding the Fourth Proportional to 1,670.49, 2,315.05 and 1,647

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Solution

The fourth proportional to 1,670.49, 2,315.05 and 1,647 is: 2,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.49 : 2,315.05 = 1,647 : x
  2. Step 2: Convert to fraction form
    1,670.49/2,315.05 = 1,647/x
  3. Step 3: Cross multiply
    1,670.49x = 2,315.05 × 1,647
  4. Step 4: Simplify right side
    1,670.49x = 3,812,883.23
  5. Step 5: Solve for x
    x = 3,812,883.23/1,670.49
  6. Step 6: Final answer
    x = 2,282.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.