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Finding the Fourth Proportional to 4,736.81, 7,106.13 and 2,139.75

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Solution

The fourth proportional to 4,736.81, 7,106.13 and 2,139.75 is: 3,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.81 : 7,106.13 = 2,139.75 : x
  2. Step 2: Convert to fraction form
    4,736.81/7,106.13 = 2,139.75/x
  3. Step 3: Cross multiply
    4,736.81x = 7,106.13 × 2,139.75
  4. Step 4: Simplify right side
    4,736.81x = 15,205,341.67
  5. Step 5: Solve for x
    x = 15,205,341.67/4,736.81
  6. Step 6: Final answer
    x = 3,210.04

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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.