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Finding the Fourth Proportional to 14,536, 20,059.76 and 7,912

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Solution

The fourth proportional to 14,536, 20,059.76 and 7,912 is: 10,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536 : 20,059.76 = 7,912 : x
  2. Step 2: Convert to fraction form
    14,536/20,059.76 = 7,912/x
  3. Step 3: Cross multiply
    14,536x = 20,059.76 × 7,912
  4. Step 4: Simplify right side
    14,536x = 158,712,821.12
  5. Step 5: Solve for x
    x = 158,712,821.12/14,536
  6. Step 6: Final answer
    x = 10,918.60

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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.