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Finding the Fourth Proportional to 2,166.48, 2,989.08 and 1,536.48

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Solution

The fourth proportional to 2,166.48, 2,989.08 and 1,536.48 is: 2,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.48 : 2,989.08 = 1,536.48 : x
  2. Step 2: Convert to fraction form
    2,166.48/2,989.08 = 1,536.48/x
  3. Step 3: Cross multiply
    2,166.48x = 2,989.08 × 1,536.48
  4. Step 4: Simplify right side
    2,166.48x = 4,592,661.64
  5. Step 5: Solve for x
    x = 4,592,661.64/2,166.48
  6. Step 6: Final answer
    x = 2,119.87

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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.