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Finding the Fourth Proportional to 2,897.61, 4,347.02 and 949.65

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Solution

The fourth proportional to 2,897.61, 4,347.02 and 949.65 is: 1,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.61 : 4,347.02 = 949.65 : x
  2. Step 2: Convert to fraction form
    2,897.61/4,347.02 = 949.65/x
  3. Step 3: Cross multiply
    2,897.61x = 4,347.02 × 949.65
  4. Step 4: Simplify right side
    2,897.61x = 4,128,147.54
  5. Step 5: Solve for x
    x = 4,128,147.54/2,897.61
  6. Step 6: Final answer
    x = 1,424.67

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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.