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Finding the Fourth Proportional to 9,759.50, 13,464.43 and 6,404.17

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Solution

The fourth proportional to 9,759.50, 13,464.43 and 6,404.17 is: 8,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.50 : 13,464.43 = 6,404.17 : x
  2. Step 2: Convert to fraction form
    9,759.50/13,464.43 = 6,404.17/x
  3. Step 3: Cross multiply
    9,759.50x = 13,464.43 × 6,404.17
  4. Step 4: Simplify right side
    9,759.50x = 86,228,498.67
  5. Step 5: Solve for x
    x = 86,228,498.67/9,759.50
  6. Step 6: Final answer
    x = 8,835.34

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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.