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Finding the Fourth Proportional to 5,718.42, 7,894.11 and 4,302.64

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Solution

The fourth proportional to 5,718.42, 7,894.11 and 4,302.64 is: 5,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.42 : 7,894.11 = 4,302.64 : x
  2. Step 2: Convert to fraction form
    5,718.42/7,894.11 = 4,302.64/x
  3. Step 3: Cross multiply
    5,718.42x = 7,894.11 × 4,302.64
  4. Step 4: Simplify right side
    5,718.42x = 33,965,513.45
  5. Step 5: Solve for x
    x = 33,965,513.45/5,718.42
  6. Step 6: Final answer
    x = 5,939.67

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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.