Home / 2,142-2,953.44-1,442.16

Finding the Fourth Proportional to 2,142, 2,953.44 and 1,442.16

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Solution

The fourth proportional to 2,142, 2,953.44 and 1,442.16 is: 1,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 2,953.44 = 1,442.16 : x
  2. Step 2: Convert to fraction form
    2,142/2,953.44 = 1,442.16/x
  3. Step 3: Cross multiply
    2,142x = 2,953.44 × 1,442.16
  4. Step 4: Simplify right side
    2,142x = 4,259,333.03
  5. Step 5: Solve for x
    x = 4,259,333.03/2,142
  6. Step 6: Final answer
    x = 1,988.48

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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.