Home / 3,314-4,973.34-1,582.76

Finding the Fourth Proportional to 3,314, 4,973.34 and 1,582.76

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Solution

The fourth proportional to 3,314, 4,973.34 and 1,582.76 is: 2,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314 : 4,973.34 = 1,582.76 : x
  2. Step 2: Convert to fraction form
    3,314/4,973.34 = 1,582.76/x
  3. Step 3: Cross multiply
    3,314x = 4,973.34 × 1,582.76
  4. Step 4: Simplify right side
    3,314x = 7,871,603.62
  5. Step 5: Solve for x
    x = 7,871,603.62/3,314
  6. Step 6: Final answer
    x = 2,375.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.