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Finding the Fourth Proportional to 30,407.53, 41,962 and 16,979.02

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Solution

The fourth proportional to 30,407.53, 41,962 and 16,979.02 is: 23,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.53 : 41,962 = 16,979.02 : x
  2. Step 2: Convert to fraction form
    30,407.53/41,962 = 16,979.02/x
  3. Step 3: Cross multiply
    30,407.53x = 41,962 × 16,979.02
  4. Step 4: Simplify right side
    30,407.53x = 712,473,637.24
  5. Step 5: Solve for x
    x = 712,473,637.24/30,407.53
  6. Step 6: Final answer
    x = 23,430.83

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1.5x scale

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.