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Finding the Fourth Proportional to 1,969.84, 2,955.12 and 815.68

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Solution

The fourth proportional to 1,969.84, 2,955.12 and 815.68 is: 1,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.84 : 2,955.12 = 815.68 : x
  2. Step 2: Convert to fraction form
    1,969.84/2,955.12 = 815.68/x
  3. Step 3: Cross multiply
    1,969.84x = 2,955.12 × 815.68
  4. Step 4: Simplify right side
    1,969.84x = 2,410,432.28
  5. Step 5: Solve for x
    x = 2,410,432.28/1,969.84
  6. Step 6: Final answer
    x = 1,223.67

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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.