Home / 4,097-6,145.50-1,325.99

Finding the Fourth Proportional to 4,097, 6,145.50 and 1,325.99

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Solution

The fourth proportional to 4,097, 6,145.50 and 1,325.99 is: 1,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097 : 6,145.50 = 1,325.99 : x
  2. Step 2: Convert to fraction form
    4,097/6,145.50 = 1,325.99/x
  3. Step 3: Cross multiply
    4,097x = 6,145.50 × 1,325.99
  4. Step 4: Simplify right side
    4,097x = 8,148,871.55
  5. Step 5: Solve for x
    x = 8,148,871.55/4,097
  6. Step 6: Final answer
    x = 1,988.99

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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.