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Finding the Fourth Proportional to 4,465, 6,697.50 and 1,729

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Solution

The fourth proportional to 4,465, 6,697.50 and 1,729 is: 2,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465 : 6,697.50 = 1,729 : x
  2. Step 2: Convert to fraction form
    4,465/6,697.50 = 1,729/x
  3. Step 3: Cross multiply
    4,465x = 6,697.50 × 1,729
  4. Step 4: Simplify right side
    4,465x = 11,579,977.50
  5. Step 5: Solve for x
    x = 11,579,977.50/4,465
  6. Step 6: Final answer
    x = 2,593.50

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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.