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Finding the Fourth Proportional to 5,673.30, 7,829.28 and 3,405.78

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Solution

The fourth proportional to 5,673.30, 7,829.28 and 3,405.78 is: 4,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.30 : 7,829.28 = 3,405.78 : x
  2. Step 2: Convert to fraction form
    5,673.30/7,829.28 = 3,405.78/x
  3. Step 3: Cross multiply
    5,673.30x = 7,829.28 × 3,405.78
  4. Step 4: Simplify right side
    5,673.30x = 26,664,805.24
  5. Step 5: Solve for x
    x = 26,664,805.24/5,673.30
  6. Step 6: Final answer
    x = 4,700.05

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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.