Home / 3,120.84-4,683.82-1,582.28

Finding the Fourth Proportional to 3,120.84, 4,683.82 and 1,582.28

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Solution

The fourth proportional to 3,120.84, 4,683.82 and 1,582.28 is: 2,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.84 : 4,683.82 = 1,582.28 : x
  2. Step 2: Convert to fraction form
    3,120.84/4,683.82 = 1,582.28/x
  3. Step 3: Cross multiply
    3,120.84x = 4,683.82 × 1,582.28
  4. Step 4: Simplify right side
    3,120.84x = 7,411,114.71
  5. Step 5: Solve for x
    x = 7,411,114.71/3,120.84
  6. Step 6: Final answer
    x = 2,374.72

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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.