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Finding the Fourth Proportional to 5,726.63, 7,903.04 and 3,208.58

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Solution

The fourth proportional to 5,726.63, 7,903.04 and 3,208.58 is: 4,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.63 : 7,903.04 = 3,208.58 : x
  2. Step 2: Convert to fraction form
    5,726.63/7,903.04 = 3,208.58/x
  3. Step 3: Cross multiply
    5,726.63x = 7,903.04 × 3,208.58
  4. Step 4: Simplify right side
    5,726.63x = 25,357,539.80
  5. Step 5: Solve for x
    x = 25,357,539.80/5,726.63
  6. Step 6: Final answer
    x = 4,428.01

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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.