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Finding the Fourth Proportional to 9,989.76, 13,752 and 8,584.32

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Solution

The fourth proportional to 9,989.76, 13,752 and 8,584.32 is: 11,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.76 : 13,752 = 8,584.32 : x
  2. Step 2: Convert to fraction form
    9,989.76/13,752 = 8,584.32/x
  3. Step 3: Cross multiply
    9,989.76x = 13,752 × 8,584.32
  4. Step 4: Simplify right side
    9,989.76x = 118,051,568.64
  5. Step 5: Solve for x
    x = 118,051,568.64/9,989.76
  6. Step 6: Final answer
    x = 11,817.26

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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.