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Finding the Fourth Proportional to 5,142.64, 7,662.73 and 4,590.60

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Solution

The fourth proportional to 5,142.64, 7,662.73 and 4,590.60 is: 6,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.64 : 7,662.73 = 4,590.60 : x
  2. Step 2: Convert to fraction form
    5,142.64/7,662.73 = 4,590.60/x
  3. Step 3: Cross multiply
    5,142.64x = 7,662.73 × 4,590.60
  4. Step 4: Simplify right side
    5,142.64x = 35,176,505.37
  5. Step 5: Solve for x
    x = 35,176,505.37/5,142.64
  6. Step 6: Final answer
    x = 6,840.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.