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Finding the Fourth Proportional to 30,989.44, 46,486.86 and 8,803

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Solution

The fourth proportional to 30,989.44, 46,486.86 and 8,803 is: 13,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.44 : 46,486.86 = 8,803 : x
  2. Step 2: Convert to fraction form
    30,989.44/46,486.86 = 8,803/x
  3. Step 3: Cross multiply
    30,989.44x = 46,486.86 × 8,803
  4. Step 4: Simplify right side
    30,989.44x = 409,223,828.58
  5. Step 5: Solve for x
    x = 409,223,828.58/30,989.44
  6. Step 6: Final answer
    x = 13,205.27

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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.