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Finding the Fourth Proportional to 5,642.45, 7,786.59 and 3,090.20

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Solution

The fourth proportional to 5,642.45, 7,786.59 and 3,090.20 is: 4,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.45 : 7,786.59 = 3,090.20 : x
  2. Step 2: Convert to fraction form
    5,642.45/7,786.59 = 3,090.20/x
  3. Step 3: Cross multiply
    5,642.45x = 7,786.59 × 3,090.20
  4. Step 4: Simplify right side
    5,642.45x = 24,062,066.03
  5. Step 5: Solve for x
    x = 24,062,066.03/5,642.45
  6. Step 6: Final answer
    x = 4,264.47

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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.