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Finding the Fourth Proportional to 1,643.26, 2,460.01 and 992.02

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Solution

The fourth proportional to 1,643.26, 2,460.01 and 992.02 is: 1,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.26 : 2,460.01 = 992.02 : x
  2. Step 2: Convert to fraction form
    1,643.26/2,460.01 = 992.02/x
  3. Step 3: Cross multiply
    1,643.26x = 2,460.01 × 992.02
  4. Step 4: Simplify right side
    1,643.26x = 2,440,379.12
  5. Step 5: Solve for x
    x = 2,440,379.12/1,643.26
  6. Step 6: Final answer
    x = 1,485.08

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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.