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Finding the Fourth Proportional to 3,643.66, 5,030.15 and 2,454.89

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Solution

The fourth proportional to 3,643.66, 5,030.15 and 2,454.89 is: 3,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.66 : 5,030.15 = 2,454.89 : x
  2. Step 2: Convert to fraction form
    3,643.66/5,030.15 = 2,454.89/x
  3. Step 3: Cross multiply
    3,643.66x = 5,030.15 × 2,454.89
  4. Step 4: Simplify right side
    3,643.66x = 12,348,464.93
  5. Step 5: Solve for x
    x = 12,348,464.93/3,643.66
  6. Step 6: Final answer
    x = 3,389.03

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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.