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Finding the Fourth Proportional to 9,148, 13,719.30 and 2,907.76

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Solution

The fourth proportional to 9,148, 13,719.30 and 2,907.76 is: 4,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148 : 13,719.30 = 2,907.76 : x
  2. Step 2: Convert to fraction form
    9,148/13,719.30 = 2,907.76/x
  3. Step 3: Cross multiply
    9,148x = 13,719.30 × 2,907.76
  4. Step 4: Simplify right side
    9,148x = 39,892,431.77
  5. Step 5: Solve for x
    x = 39,892,431.77/9,148
  6. Step 6: Final answer
    x = 4,360.78

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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.