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Finding the Fourth Proportional to 28,954, 39,956.68 and 15,706

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Solution

The fourth proportional to 28,954, 39,956.68 and 15,706 is: 21,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,954 : 39,956.68 = 15,706 : x
  2. Step 2: Convert to fraction form
    28,954/39,956.68 = 15,706/x
  3. Step 3: Cross multiply
    28,954x = 39,956.68 × 15,706
  4. Step 4: Simplify right side
    28,954x = 627,559,616.08
  5. Step 5: Solve for x
    x = 627,559,616.08/28,954
  6. Step 6: Final answer
    x = 21,674.37

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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.