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Finding the Fourth Proportional to 4,811, 6,639.18 and 2,948

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Solution

The fourth proportional to 4,811, 6,639.18 and 2,948 is: 4,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811 : 6,639.18 = 2,948 : x
  2. Step 2: Convert to fraction form
    4,811/6,639.18 = 2,948/x
  3. Step 3: Cross multiply
    4,811x = 6,639.18 × 2,948
  4. Step 4: Simplify right side
    4,811x = 19,572,302.64
  5. Step 5: Solve for x
    x = 19,572,302.64/4,811
  6. Step 6: Final answer
    x = 4,068.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.