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Finding the Fourth Proportional to 9,920.84, 14,858.57 and 6,447.56

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Solution

The fourth proportional to 9,920.84, 14,858.57 and 6,447.56 is: 9,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.84 : 14,858.57 = 6,447.56 : x
  2. Step 2: Convert to fraction form
    9,920.84/14,858.57 = 6,447.56/x
  3. Step 3: Cross multiply
    9,920.84x = 14,858.57 × 6,447.56
  4. Step 4: Simplify right side
    9,920.84x = 95,801,415.06
  5. Step 5: Solve for x
    x = 95,801,415.06/9,920.84
  6. Step 6: Final answer
    x = 9,656.59

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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.