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Finding the Fourth Proportional to 2,962, 4,087.56 and 1,858

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Solution

The fourth proportional to 2,962, 4,087.56 and 1,858 is: 2,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962 : 4,087.56 = 1,858 : x
  2. Step 2: Convert to fraction form
    2,962/4,087.56 = 1,858/x
  3. Step 3: Cross multiply
    2,962x = 4,087.56 × 1,858
  4. Step 4: Simplify right side
    2,962x = 7,594,686.48
  5. Step 5: Solve for x
    x = 7,594,686.48/2,962
  6. Step 6: Final answer
    x = 2,564.04

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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.