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Finding the Fourth Proportional to 19,700.06, 29,480.70 and 12,308

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Solution

The fourth proportional to 19,700.06, 29,480.70 and 12,308 is: 18,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.06 : 29,480.70 = 12,308 : x
  2. Step 2: Convert to fraction form
    19,700.06/29,480.70 = 12,308/x
  3. Step 3: Cross multiply
    19,700.06x = 29,480.70 × 12,308
  4. Step 4: Simplify right side
    19,700.06x = 362,848,455.60
  5. Step 5: Solve for x
    x = 362,848,455.60/19,700.06
  6. Step 6: Final answer
    x = 18,418.65

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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.