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Finding the Fourth Proportional to 5,476.69, 8,212.90 and 1,778.03

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Solution

The fourth proportional to 5,476.69, 8,212.90 and 1,778.03 is: 2,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.69 : 8,212.90 = 1,778.03 : x
  2. Step 2: Convert to fraction form
    5,476.69/8,212.90 = 1,778.03/x
  3. Step 3: Cross multiply
    5,476.69x = 8,212.90 × 1,778.03
  4. Step 4: Simplify right side
    5,476.69x = 14,602,782.59
  5. Step 5: Solve for x
    x = 14,602,782.59/5,476.69
  6. Step 6: Final answer
    x = 2,666.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.