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Finding the Fourth Proportional to 39,258, 58,902.74 and 14,299.77

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Solution

The fourth proportional to 39,258, 58,902.74 and 14,299.77 is: 21,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258 : 58,902.74 = 14,299.77 : x
  2. Step 2: Convert to fraction form
    39,258/58,902.74 = 14,299.77/x
  3. Step 3: Cross multiply
    39,258x = 58,902.74 × 14,299.77
  4. Step 4: Simplify right side
    39,258x = 842,295,562.87
  5. Step 5: Solve for x
    x = 842,295,562.87/39,258
  6. Step 6: Final answer
    x = 21,455.39

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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.