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Finding the Fourth Proportional to 5,818.51, 7,977.19 and 5,713.21

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Solution

The fourth proportional to 5,818.51, 7,977.19 and 5,713.21 is: 7,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.51 : 7,977.19 = 5,713.21 : x
  2. Step 2: Convert to fraction form
    5,818.51/7,977.19 = 5,713.21/x
  3. Step 3: Cross multiply
    5,818.51x = 7,977.19 × 5,713.21
  4. Step 4: Simplify right side
    5,818.51x = 45,575,361.68
  5. Step 5: Solve for x
    x = 45,575,361.68/5,818.51
  6. Step 6: Final answer
    x = 7,832.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.