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Finding the Fourth Proportional to 2,643.03, 3,642.98 and 2,323.18

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Solution

The fourth proportional to 2,643.03, 3,642.98 and 2,323.18 is: 3,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.03 : 3,642.98 = 2,323.18 : x
  2. Step 2: Convert to fraction form
    2,643.03/3,642.98 = 2,323.18/x
  3. Step 3: Cross multiply
    2,643.03x = 3,642.98 × 2,323.18
  4. Step 4: Simplify right side
    2,643.03x = 8,463,291.21
  5. Step 5: Solve for x
    x = 8,463,291.21/2,643.03
  6. Step 6: Final answer
    x = 3,202.12

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1.5x scale

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.