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Finding the Fourth Proportional to 2,128.34, 3,192.62 and 957.08

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Solution

The fourth proportional to 2,128.34, 3,192.62 and 957.08 is: 1,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.34 : 3,192.62 = 957.08 : x
  2. Step 2: Convert to fraction form
    2,128.34/3,192.62 = 957.08/x
  3. Step 3: Cross multiply
    2,128.34x = 3,192.62 × 957.08
  4. Step 4: Simplify right side
    2,128.34x = 3,055,595.95
  5. Step 5: Solve for x
    x = 3,055,595.95/2,128.34
  6. Step 6: Final answer
    x = 1,435.67

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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.