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Finding the Fourth Proportional to 3,133.36, 4,700.72 and 912.24

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Solution

The fourth proportional to 3,133.36, 4,700.72 and 912.24 is: 1,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.36 : 4,700.72 = 912.24 : x
  2. Step 2: Convert to fraction form
    3,133.36/4,700.72 = 912.24/x
  3. Step 3: Cross multiply
    3,133.36x = 4,700.72 × 912.24
  4. Step 4: Simplify right side
    3,133.36x = 4,288,184.81
  5. Step 5: Solve for x
    x = 4,288,184.81/3,133.36
  6. Step 6: Final answer
    x = 1,368.56

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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.