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Finding the Fourth Proportional to 4,906, 7,359 and 1,258

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Solution

The fourth proportional to 4,906, 7,359 and 1,258 is: 1,887

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906 : 7,359 = 1,258 : x
  2. Step 2: Convert to fraction form
    4,906/7,359 = 1,258/x
  3. Step 3: Cross multiply
    4,906x = 7,359 × 1,258
  4. Step 4: Simplify right side
    4,906x = 9,257,622
  5. Step 5: Solve for x
    x = 9,257,622/4,906
  6. Step 6: Final answer
    x = 1,887

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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.