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Finding the Fourth Proportional to 10,072, 15,097.20 and 4,866.40

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Solution

The fourth proportional to 10,072, 15,097.20 and 4,866.40 is: 7,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 15,097.20 = 4,866.40 : x
  2. Step 2: Convert to fraction form
    10,072/15,097.20 = 4,866.40/x
  3. Step 3: Cross multiply
    10,072x = 15,097.20 × 4,866.40
  4. Step 4: Simplify right side
    10,072x = 73,469,014.08
  5. Step 5: Solve for x
    x = 73,469,014.08/10,072
  6. Step 6: Final answer
    x = 7,294.38

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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.