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Finding the Fourth Proportional to 4,649.68, 6,969.60 and 2,894.64

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Solution

The fourth proportional to 4,649.68, 6,969.60 and 2,894.64 is: 4,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.68 : 6,969.60 = 2,894.64 : x
  2. Step 2: Convert to fraction form
    4,649.68/6,969.60 = 2,894.64/x
  3. Step 3: Cross multiply
    4,649.68x = 6,969.60 × 2,894.64
  4. Step 4: Simplify right side
    4,649.68x = 20,174,482.94
  5. Step 5: Solve for x
    x = 20,174,482.94/4,649.68
  6. Step 6: Final answer
    x = 4,338.90

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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.