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Finding the Fourth Proportional to 3,395.84, 4,686 and 1,903.76

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Solution

The fourth proportional to 3,395.84, 4,686 and 1,903.76 is: 2,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.84 : 4,686 = 1,903.76 : x
  2. Step 2: Convert to fraction form
    3,395.84/4,686 = 1,903.76/x
  3. Step 3: Cross multiply
    3,395.84x = 4,686 × 1,903.76
  4. Step 4: Simplify right side
    3,395.84x = 8,921,019.36
  5. Step 5: Solve for x
    x = 8,921,019.36/3,395.84
  6. Step 6: Final answer
    x = 2,627.04

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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.