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Finding the Fourth Proportional to 7,093, 10,639.50 and 1,898.76

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Solution

The fourth proportional to 7,093, 10,639.50 and 1,898.76 is: 2,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093 : 10,639.50 = 1,898.76 : x
  2. Step 2: Convert to fraction form
    7,093/10,639.50 = 1,898.76/x
  3. Step 3: Cross multiply
    7,093x = 10,639.50 × 1,898.76
  4. Step 4: Simplify right side
    7,093x = 20,201,857.02
  5. Step 5: Solve for x
    x = 20,201,857.02/7,093
  6. Step 6: Final answer
    x = 2,848.14

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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.