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Finding the Fourth Proportional to 5,643.65, 7,789.20 and 3,405.71

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Solution

The fourth proportional to 5,643.65, 7,789.20 and 3,405.71 is: 4,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.65 : 7,789.20 = 3,405.71 : x
  2. Step 2: Convert to fraction form
    5,643.65/7,789.20 = 3,405.71/x
  3. Step 3: Cross multiply
    5,643.65x = 7,789.20 × 3,405.71
  4. Step 4: Simplify right side
    5,643.65x = 26,527,756.33
  5. Step 5: Solve for x
    x = 26,527,756.33/5,643.65
  6. Step 6: Final answer
    x = 4,700.46

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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.