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Finding the Fourth Proportional to 7,089.21, 9,782.72 and 3,945.20

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Solution

The fourth proportional to 7,089.21, 9,782.72 and 3,945.20 is: 5,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.21 : 9,782.72 = 3,945.20 : x
  2. Step 2: Convert to fraction form
    7,089.21/9,782.72 = 3,945.20/x
  3. Step 3: Cross multiply
    7,089.21x = 9,782.72 × 3,945.20
  4. Step 4: Simplify right side
    7,089.21x = 38,594,718.30
  5. Step 5: Solve for x
    x = 38,594,718.30/7,089.21
  6. Step 6: Final answer
    x = 5,444.15

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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.