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Finding the Fourth Proportional to 30,258, 41,761.50 and 17,509.68

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Solution

The fourth proportional to 30,258, 41,761.50 and 17,509.68 is: 24,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 41,761.50 = 17,509.68 : x
  2. Step 2: Convert to fraction form
    30,258/41,761.50 = 17,509.68/x
  3. Step 3: Cross multiply
    30,258x = 41,761.50 × 17,509.68
  4. Step 4: Simplify right side
    30,258x = 731,230,501.32
  5. Step 5: Solve for x
    x = 731,230,501.32/30,258
  6. Step 6: Final answer
    x = 24,166.52

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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.