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Finding the Fourth Proportional to 6,403.76, 9,602.36 and 2,938

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Solution

The fourth proportional to 6,403.76, 9,602.36 and 2,938 is: 4,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.76 : 9,602.36 = 2,938 : x
  2. Step 2: Convert to fraction form
    6,403.76/9,602.36 = 2,938/x
  3. Step 3: Cross multiply
    6,403.76x = 9,602.36 × 2,938
  4. Step 4: Simplify right side
    6,403.76x = 28,211,733.68
  5. Step 5: Solve for x
    x = 28,211,733.68/6,403.76
  6. Step 6: Final answer
    x = 4,405.50

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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.