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Finding the Fourth Proportional to 3,201, 4,417.38 and 1,729

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Solution

The fourth proportional to 3,201, 4,417.38 and 1,729 is: 2,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201 : 4,417.38 = 1,729 : x
  2. Step 2: Convert to fraction form
    3,201/4,417.38 = 1,729/x
  3. Step 3: Cross multiply
    3,201x = 4,417.38 × 1,729
  4. Step 4: Simplify right side
    3,201x = 7,637,650.02
  5. Step 5: Solve for x
    x = 7,637,650.02/3,201
  6. Step 6: Final answer
    x = 2,386.02

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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.