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Finding the Fourth Proportional to 8,735.94, 13,120.65 and 7,489.35

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Solution

The fourth proportional to 8,735.94, 13,120.65 and 7,489.35 is: 11,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.94 : 13,120.65 = 7,489.35 : x
  2. Step 2: Convert to fraction form
    8,735.94/13,120.65 = 7,489.35/x
  3. Step 3: Cross multiply
    8,735.94x = 13,120.65 × 7,489.35
  4. Step 4: Simplify right side
    8,735.94x = 98,265,140.08
  5. Step 5: Solve for x
    x = 98,265,140.08/8,735.94
  6. Step 6: Final answer
    x = 11,248.38

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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.