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Finding the Fourth Proportional to 30,407.03, 41,961.31 and 16,978.51

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Solution

The fourth proportional to 30,407.03, 41,961.31 and 16,978.51 is: 23,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.03 : 41,961.31 = 16,978.51 : x
  2. Step 2: Convert to fraction form
    30,407.03/41,961.31 = 16,978.51/x
  3. Step 3: Cross multiply
    30,407.03x = 41,961.31 × 16,978.51
  4. Step 4: Simplify right side
    30,407.03x = 712,440,531.45
  5. Step 5: Solve for x
    x = 712,440,531.45/30,407.03
  6. Step 6: Final answer
    x = 23,430.13

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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.