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Finding the Fourth Proportional to 1,208.60, 1,812.90 and 1,184.30

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Solution

The fourth proportional to 1,208.60, 1,812.90 and 1,184.30 is: 1,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.60 : 1,812.90 = 1,184.30 : x
  2. Step 2: Convert to fraction form
    1,208.60/1,812.90 = 1,184.30/x
  3. Step 3: Cross multiply
    1,208.60x = 1,812.90 × 1,184.30
  4. Step 4: Simplify right side
    1,208.60x = 2,147,017.47
  5. Step 5: Solve for x
    x = 2,147,017.47/1,208.60
  6. Step 6: Final answer
    x = 1,776.45

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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.