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Finding the Fourth Proportional to 5,173.65, 7,129.90 and 4,664.26

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Solution

The fourth proportional to 5,173.65, 7,129.90 and 4,664.26 is: 6,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.65 : 7,129.90 = 4,664.26 : x
  2. Step 2: Convert to fraction form
    5,173.65/7,129.90 = 4,664.26/x
  3. Step 3: Cross multiply
    5,173.65x = 7,129.90 × 4,664.26
  4. Step 4: Simplify right side
    5,173.65x = 33,255,707.37
  5. Step 5: Solve for x
    x = 33,255,707.37/5,173.65
  6. Step 6: Final answer
    x = 6,427.90

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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.