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Finding the Fourth Proportional to 2,439, 3,655.08 and 1,617.84

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Solution

The fourth proportional to 2,439, 3,655.08 and 1,617.84 is: 2,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 3,655.08 = 1,617.84 : x
  2. Step 2: Convert to fraction form
    2,439/3,655.08 = 1,617.84/x
  3. Step 3: Cross multiply
    2,439x = 3,655.08 × 1,617.84
  4. Step 4: Simplify right side
    2,439x = 5,913,334.63
  5. Step 5: Solve for x
    x = 5,913,334.63/2,439
  6. Step 6: Final answer
    x = 2,424.49

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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.