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Finding the Fourth Proportional to 2,646.50, 3,643.53 and 2,224.10

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Solution

The fourth proportional to 2,646.50, 3,643.53 and 2,224.10 is: 3,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.50 : 3,643.53 = 2,224.10 : x
  2. Step 2: Convert to fraction form
    2,646.50/3,643.53 = 2,224.10/x
  3. Step 3: Cross multiply
    2,646.50x = 3,643.53 × 2,224.10
  4. Step 4: Simplify right side
    2,646.50x = 8,103,575.07
  5. Step 5: Solve for x
    x = 8,103,575.07/2,646.50
  6. Step 6: Final answer
    x = 3,062.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.