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Finding the Fourth Proportional to 4,894.56, 6,750 and 4,428

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Solution

The fourth proportional to 4,894.56, 6,750 and 4,428 is: 6,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.56 : 6,750 = 4,428 : x
  2. Step 2: Convert to fraction form
    4,894.56/6,750 = 4,428/x
  3. Step 3: Cross multiply
    4,894.56x = 6,750 × 4,428
  4. Step 4: Simplify right side
    4,894.56x = 29,889,000
  5. Step 5: Solve for x
    x = 29,889,000/4,894.56
  6. Step 6: Final answer
    x = 6,106.58

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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.