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Finding the Fourth Proportional to 9,830.45, 13,566.09 and 5,354.20

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Solution

The fourth proportional to 9,830.45, 13,566.09 and 5,354.20 is: 7,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.45 : 13,566.09 = 5,354.20 : x
  2. Step 2: Convert to fraction form
    9,830.45/13,566.09 = 5,354.20/x
  3. Step 3: Cross multiply
    9,830.45x = 13,566.09 × 5,354.20
  4. Step 4: Simplify right side
    9,830.45x = 72,635,559.08
  5. Step 5: Solve for x
    x = 72,635,559.08/9,830.45
  6. Step 6: Final answer
    x = 7,388.83

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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.