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Finding the Fourth Proportional to 5,289.34, 7,289.22 and 3,873.46

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Solution

The fourth proportional to 5,289.34, 7,289.22 and 3,873.46 is: 5,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.34 : 7,289.22 = 3,873.46 : x
  2. Step 2: Convert to fraction form
    5,289.34/7,289.22 = 3,873.46/x
  3. Step 3: Cross multiply
    5,289.34x = 7,289.22 × 3,873.46
  4. Step 4: Simplify right side
    5,289.34x = 28,234,502.10
  5. Step 5: Solve for x
    x = 28,234,502.10/5,289.34
  6. Step 6: Final answer
    x = 5,338.00

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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.