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Finding the Fourth Proportional to 3,805.61, 5,700.86 and 2,980.02

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Solution

The fourth proportional to 3,805.61, 5,700.86 and 2,980.02 is: 4,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.61 : 5,700.86 = 2,980.02 : x
  2. Step 2: Convert to fraction form
    3,805.61/5,700.86 = 2,980.02/x
  3. Step 3: Cross multiply
    3,805.61x = 5,700.86 × 2,980.02
  4. Step 4: Simplify right side
    3,805.61x = 16,988,637.99
  5. Step 5: Solve for x
    x = 16,988,637.99/3,805.61
  6. Step 6: Final answer
    x = 4,464.11

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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.