Home / 1,582.12-2,376.06-1,378.12

Finding the Fourth Proportional to 1,582.12, 2,376.06 and 1,378.12

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Solution

The fourth proportional to 1,582.12, 2,376.06 and 1,378.12 is: 2,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.12 : 2,376.06 = 1,378.12 : x
  2. Step 2: Convert to fraction form
    1,582.12/2,376.06 = 1,378.12/x
  3. Step 3: Cross multiply
    1,582.12x = 2,376.06 × 1,378.12
  4. Step 4: Simplify right side
    1,582.12x = 3,274,495.81
  5. Step 5: Solve for x
    x = 3,274,495.81/1,582.12
  6. Step 6: Final answer
    x = 2,069.69

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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.