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Finding the Fourth Proportional to 5,238.76, 7,858.14 and 1,343.16

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Solution

The fourth proportional to 5,238.76, 7,858.14 and 1,343.16 is: 2,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.76 : 7,858.14 = 1,343.16 : x
  2. Step 2: Convert to fraction form
    5,238.76/7,858.14 = 1,343.16/x
  3. Step 3: Cross multiply
    5,238.76x = 7,858.14 × 1,343.16
  4. Step 4: Simplify right side
    5,238.76x = 10,554,739.32
  5. Step 5: Solve for x
    x = 10,554,739.32/5,238.76
  6. Step 6: Final answer
    x = 2,014.74

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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.