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Finding the Fourth Proportional to 5,420, 7,480.81 and 3,295.08

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Solution

The fourth proportional to 5,420, 7,480.81 and 3,295.08 is: 4,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 7,480.81 = 3,295.08 : x
  2. Step 2: Convert to fraction form
    5,420/7,480.81 = 3,295.08/x
  3. Step 3: Cross multiply
    5,420x = 7,480.81 × 3,295.08
  4. Step 4: Simplify right side
    5,420x = 24,649,850.94
  5. Step 5: Solve for x
    x = 24,649,850.94/5,420
  6. Step 6: Final answer
    x = 4,547.94

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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.