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Finding the Fourth Proportional to 28,993.70, 43,465.49 and 12,970.96

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Solution

The fourth proportional to 28,993.70, 43,465.49 and 12,970.96 is: 19,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,993.70 : 43,465.49 = 12,970.96 : x
  2. Step 2: Convert to fraction form
    28,993.70/43,465.49 = 12,970.96/x
  3. Step 3: Cross multiply
    28,993.70x = 43,465.49 × 12,970.96
  4. Step 4: Simplify right side
    28,993.70x = 563,789,093.06
  5. Step 5: Solve for x
    x = 563,789,093.06/28,993.70
  6. Step 6: Final answer
    x = 19,445.23

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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.