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Finding the Fourth Proportional to 1,671.49, 2,316.43 and 1,648

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Solution

The fourth proportional to 1,671.49, 2,316.43 and 1,648 is: 2,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.49 : 2,316.43 = 1,648 : x
  2. Step 2: Convert to fraction form
    1,671.49/2,316.43 = 1,648/x
  3. Step 3: Cross multiply
    1,671.49x = 2,316.43 × 1,648
  4. Step 4: Simplify right side
    1,671.49x = 3,817,476.64
  5. Step 5: Solve for x
    x = 3,817,476.64/1,671.49
  6. Step 6: Final answer
    x = 2,283.88

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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.