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Finding the Fourth Proportional to 2,666.06, 3,999.06 and 1,203.50

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Solution

The fourth proportional to 2,666.06, 3,999.06 and 1,203.50 is: 1,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.06 : 3,999.06 = 1,203.50 : x
  2. Step 2: Convert to fraction form
    2,666.06/3,999.06 = 1,203.50/x
  3. Step 3: Cross multiply
    2,666.06x = 3,999.06 × 1,203.50
  4. Step 4: Simplify right side
    2,666.06x = 4,812,868.71
  5. Step 5: Solve for x
    x = 4,812,868.71/2,666.06
  6. Step 6: Final answer
    x = 1,805.24

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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.