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Finding the Fourth Proportional to 30,671.00, 45,979.19 and 11,946.66

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Solution

The fourth proportional to 30,671.00, 45,979.19 and 11,946.66 is: 17,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.00 : 45,979.19 = 11,946.66 : x
  2. Step 2: Convert to fraction form
    30,671.00/45,979.19 = 11,946.66/x
  3. Step 3: Cross multiply
    30,671.00x = 45,979.19 × 11,946.66
  4. Step 4: Simplify right side
    30,671.00x = 549,297,750.01
  5. Step 5: Solve for x
    x = 549,297,750.01/30,671.00
  6. Step 6: Final answer
    x = 17,909.36

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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.