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Finding the Fourth Proportional to 5,100, 7,037.39 and 2,975.99

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Solution

The fourth proportional to 5,100, 7,037.39 and 2,975.99 is: 4,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,037.39 = 2,975.99 : x
  2. Step 2: Convert to fraction form
    5,100/7,037.39 = 2,975.99/x
  3. Step 3: Cross multiply
    5,100x = 7,037.39 × 2,975.99
  4. Step 4: Simplify right side
    5,100x = 20,943,152.20
  5. Step 5: Solve for x
    x = 20,943,152.20/5,100
  6. Step 6: Final answer
    x = 4,106.50

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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.