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Finding the Fourth Proportional to 14,696, 20,280.64 and 8,072

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Solution

The fourth proportional to 14,696, 20,280.64 and 8,072 is: 11,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696 : 20,280.64 = 8,072 : x
  2. Step 2: Convert to fraction form
    14,696/20,280.64 = 8,072/x
  3. Step 3: Cross multiply
    14,696x = 20,280.64 × 8,072
  4. Step 4: Simplify right side
    14,696x = 163,705,326.08
  5. Step 5: Solve for x
    x = 163,705,326.08/14,696
  6. Step 6: Final answer
    x = 11,139.45

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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.