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Finding the Fourth Proportional to 5,419.71, 7,469.42 and 4,000.32

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Solution

The fourth proportional to 5,419.71, 7,469.42 and 4,000.32 is: 5,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.71 : 7,469.42 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    5,419.71/7,469.42 = 4,000.32/x
  3. Step 3: Cross multiply
    5,419.71x = 7,469.42 × 4,000.32
  4. Step 4: Simplify right side
    5,419.71x = 29,880,050.21
  5. Step 5: Solve for x
    x = 29,880,050.21/5,419.71
  6. Step 6: Final answer
    x = 5,513.22

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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.