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Finding the Fourth Proportional to 2,911.84, 4,368.40 and 1,372

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Solution

The fourth proportional to 2,911.84, 4,368.40 and 1,372 is: 2,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.84 : 4,368.40 = 1,372 : x
  2. Step 2: Convert to fraction form
    2,911.84/4,368.40 = 1,372/x
  3. Step 3: Cross multiply
    2,911.84x = 4,368.40 × 1,372
  4. Step 4: Simplify right side
    2,911.84x = 5,993,444.80
  5. Step 5: Solve for x
    x = 5,993,444.80/2,911.84
  6. Step 6: Final answer
    x = 2,058.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.