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Finding the Fourth Proportional to 30,709.84, 46,070.72 and 11,989.12

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Solution

The fourth proportional to 30,709.84, 46,070.72 and 11,989.12 is: 17,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.84 : 46,070.72 = 11,989.12 : x
  2. Step 2: Convert to fraction form
    30,709.84/46,070.72 = 11,989.12/x
  3. Step 3: Cross multiply
    30,709.84x = 46,070.72 × 11,989.12
  4. Step 4: Simplify right side
    30,709.84x = 552,347,390.57
  5. Step 5: Solve for x
    x = 552,347,390.57/30,709.84
  6. Step 6: Final answer
    x = 17,986.01

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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.