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Finding the Fourth Proportional to 2,165.99, 2,988.88 and 1,222.01

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Solution

The fourth proportional to 2,165.99, 2,988.88 and 1,222.01 is: 1,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.99 : 2,988.88 = 1,222.01 : x
  2. Step 2: Convert to fraction form
    2,165.99/2,988.88 = 1,222.01/x
  3. Step 3: Cross multiply
    2,165.99x = 2,988.88 × 1,222.01
  4. Step 4: Simplify right side
    2,165.99x = 3,652,441.25
  5. Step 5: Solve for x
    x = 3,652,441.25/2,165.99
  6. Step 6: Final answer
    x = 1,686.27

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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.