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Finding the Fourth Proportional to 1,518.83, 2,096.08 and 921.38

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Solution

The fourth proportional to 1,518.83, 2,096.08 and 921.38 is: 1,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.83 : 2,096.08 = 921.38 : x
  2. Step 2: Convert to fraction form
    1,518.83/2,096.08 = 921.38/x
  3. Step 3: Cross multiply
    1,518.83x = 2,096.08 × 921.38
  4. Step 4: Simplify right side
    1,518.83x = 1,931,286.19
  5. Step 5: Solve for x
    x = 1,931,286.19/1,518.83
  6. Step 6: Final answer
    x = 1,271.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.