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Finding the Fourth Proportional to 3,133.82, 4,700.59 and 912.67

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Solution

The fourth proportional to 3,133.82, 4,700.59 and 912.67 is: 1,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.82 : 4,700.59 = 912.67 : x
  2. Step 2: Convert to fraction form
    3,133.82/4,700.59 = 912.67/x
  3. Step 3: Cross multiply
    3,133.82x = 4,700.59 × 912.67
  4. Step 4: Simplify right side
    3,133.82x = 4,290,073.44
  5. Step 5: Solve for x
    x = 4,290,073.44/3,133.82
  6. Step 6: Final answer
    x = 1,368.96

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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.