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Finding the Fourth Proportional to 5,643.50, 7,786.23 and 3,655.58

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Solution

The fourth proportional to 5,643.50, 7,786.23 and 3,655.58 is: 5,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.50 : 7,786.23 = 3,655.58 : x
  2. Step 2: Convert to fraction form
    5,643.50/7,786.23 = 3,655.58/x
  3. Step 3: Cross multiply
    5,643.50x = 7,786.23 × 3,655.58
  4. Step 4: Simplify right side
    5,643.50x = 28,463,186.66
  5. Step 5: Solve for x
    x = 28,463,186.66/5,643.50
  6. Step 6: Final answer
    x = 5,043.53

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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.