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Finding the Fourth Proportional to 10,699.44, 14,759.04 and 6,447.60

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Solution

The fourth proportional to 10,699.44, 14,759.04 and 6,447.60 is: 8,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.44 : 14,759.04 = 6,447.60 : x
  2. Step 2: Convert to fraction form
    10,699.44/14,759.04 = 6,447.60/x
  3. Step 3: Cross multiply
    10,699.44x = 14,759.04 × 6,447.60
  4. Step 4: Simplify right side
    10,699.44x = 95,160,386.30
  5. Step 5: Solve for x
    x = 95,160,386.30/10,699.44
  6. Step 6: Final answer
    x = 8,893.96

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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.