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Finding the Fourth Proportional to 8,509.89, 11,735.10 and 5,677.32

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Solution

The fourth proportional to 8,509.89, 11,735.10 and 5,677.32 is: 7,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.89 : 11,735.10 = 5,677.32 : x
  2. Step 2: Convert to fraction form
    8,509.89/11,735.10 = 5,677.32/x
  3. Step 3: Cross multiply
    8,509.89x = 11,735.10 × 5,677.32
  4. Step 4: Simplify right side
    8,509.89x = 66,623,917.93
  5. Step 5: Solve for x
    x = 66,623,917.93/8,509.89
  6. Step 6: Final answer
    x = 7,829.00

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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.