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Finding the Fourth Proportional to 2,878.50, 3,972.34 and 1,700.36

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Solution

The fourth proportional to 2,878.50, 3,972.34 and 1,700.36 is: 2,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.50 : 3,972.34 = 1,700.36 : x
  2. Step 2: Convert to fraction form
    2,878.50/3,972.34 = 1,700.36/x
  3. Step 3: Cross multiply
    2,878.50x = 3,972.34 × 1,700.36
  4. Step 4: Simplify right side
    2,878.50x = 6,754,408.04
  5. Step 5: Solve for x
    x = 6,754,408.04/2,878.50
  6. Step 6: Final answer
    x = 2,346.50

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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.