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Finding the Fourth Proportional to 5,231.90, 7,210.08 and 5,135.84

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Solution

The fourth proportional to 5,231.90, 7,210.08 and 5,135.84 is: 7,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.90 : 7,210.08 = 5,135.84 : x
  2. Step 2: Convert to fraction form
    5,231.90/7,210.08 = 5,135.84/x
  3. Step 3: Cross multiply
    5,231.90x = 7,210.08 × 5,135.84
  4. Step 4: Simplify right side
    5,231.90x = 37,029,817.27
  5. Step 5: Solve for x
    x = 37,029,817.27/5,231.90
  6. Step 6: Final answer
    x = 7,077.70

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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.