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Finding the Fourth Proportional to 5,678.66, 7,839.38 and 4,399.67

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Solution

The fourth proportional to 5,678.66, 7,839.38 and 4,399.67 is: 6,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.66 : 7,839.38 = 4,399.67 : x
  2. Step 2: Convert to fraction form
    5,678.66/7,839.38 = 4,399.67/x
  3. Step 3: Cross multiply
    5,678.66x = 7,839.38 × 4,399.67
  4. Step 4: Simplify right side
    5,678.66x = 34,490,715.60
  5. Step 5: Solve for x
    x = 34,490,715.60/5,678.66
  6. Step 6: Final answer
    x = 6,073.74

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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.