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Finding the Fourth Proportional to 2,807.21, 4,209.40 and 957.67

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Solution

The fourth proportional to 2,807.21, 4,209.40 and 957.67 is: 1,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.21 : 4,209.40 = 957.67 : x
  2. Step 2: Convert to fraction form
    2,807.21/4,209.40 = 957.67/x
  3. Step 3: Cross multiply
    2,807.21x = 4,209.40 × 957.67
  4. Step 4: Simplify right side
    2,807.21x = 4,031,230.45
  5. Step 5: Solve for x
    x = 4,031,230.45/2,807.21
  6. Step 6: Final answer
    x = 1,436.03

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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.