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Finding the Fourth Proportional to 5,909.88, 8,821.58 and 5,209.28

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Solution

The fourth proportional to 5,909.88, 8,821.58 and 5,209.28 is: 7,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.88 : 8,821.58 = 5,209.28 : x
  2. Step 2: Convert to fraction form
    5,909.88/8,821.58 = 5,209.28/x
  3. Step 3: Cross multiply
    5,909.88x = 8,821.58 × 5,209.28
  4. Step 4: Simplify right side
    5,909.88x = 45,954,080.26
  5. Step 5: Solve for x
    x = 45,954,080.26/5,909.88
  6. Step 6: Final answer
    x = 7,775.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.