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Finding the Fourth Proportional to 3,643.04, 5,459.81 and 2,645.74

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Solution

The fourth proportional to 3,643.04, 5,459.81 and 2,645.74 is: 3,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.04 : 5,459.81 = 2,645.74 : x
  2. Step 2: Convert to fraction form
    3,643.04/5,459.81 = 2,645.74/x
  3. Step 3: Cross multiply
    3,643.04x = 5,459.81 × 2,645.74
  4. Step 4: Simplify right side
    3,643.04x = 14,445,230.67
  5. Step 5: Solve for x
    x = 14,445,230.67/3,643.04
  6. Step 6: Final answer
    x = 3,965.16

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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.