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Finding the Fourth Proportional to 1,215.64, 1,822.22 and 1,069.84

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Solution

The fourth proportional to 1,215.64, 1,822.22 and 1,069.84 is: 1,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.64 : 1,822.22 = 1,069.84 : x
  2. Step 2: Convert to fraction form
    1,215.64/1,822.22 = 1,069.84/x
  3. Step 3: Cross multiply
    1,215.64x = 1,822.22 × 1,069.84
  4. Step 4: Simplify right side
    1,215.64x = 1,949,483.84
  5. Step 5: Solve for x
    x = 1,949,483.84/1,215.64
  6. Step 6: Final answer
    x = 1,603.67

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1.5x scale

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.