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Finding the Fourth Proportional to 5,073.26, 7,000.34 and 2,978.06

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Solution

The fourth proportional to 5,073.26, 7,000.34 and 2,978.06 is: 4,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.26 : 7,000.34 = 2,978.06 : x
  2. Step 2: Convert to fraction form
    5,073.26/7,000.34 = 2,978.06/x
  3. Step 3: Cross multiply
    5,073.26x = 7,000.34 × 2,978.06
  4. Step 4: Simplify right side
    5,073.26x = 20,847,432.54
  5. Step 5: Solve for x
    x = 20,847,432.54/5,073.26
  6. Step 6: Final answer
    x = 4,109.28

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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.