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Finding the Fourth Proportional to 5,494.84, 8,245.88 and 5,130.32

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Solution

The fourth proportional to 5,494.84, 8,245.88 and 5,130.32 is: 7,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.84 : 8,245.88 = 5,130.32 : x
  2. Step 2: Convert to fraction form
    5,494.84/8,245.88 = 5,130.32/x
  3. Step 3: Cross multiply
    5,494.84x = 8,245.88 × 5,130.32
  4. Step 4: Simplify right side
    5,494.84x = 42,304,003.08
  5. Step 5: Solve for x
    x = 42,304,003.08/5,494.84
  6. Step 6: Final answer
    x = 7,698.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.