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Finding the Fourth Proportional to 3,054.40, 4,214.88 and 1,728

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Solution

The fourth proportional to 3,054.40, 4,214.88 and 1,728 is: 2,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.40 : 4,214.88 = 1,728 : x
  2. Step 2: Convert to fraction form
    3,054.40/4,214.88 = 1,728/x
  3. Step 3: Cross multiply
    3,054.40x = 4,214.88 × 1,728
  4. Step 4: Simplify right side
    3,054.40x = 7,283,312.64
  5. Step 5: Solve for x
    x = 7,283,312.64/3,054.40
  6. Step 6: Final answer
    x = 2,384.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.