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Finding the Fourth Proportional to 30,701.49, 46,050.15 and 11,978.07

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Solution

The fourth proportional to 30,701.49, 46,050.15 and 11,978.07 is: 17,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.49 : 46,050.15 = 11,978.07 : x
  2. Step 2: Convert to fraction form
    30,701.49/46,050.15 = 11,978.07/x
  3. Step 3: Cross multiply
    30,701.49x = 46,050.15 × 11,978.07
  4. Step 4: Simplify right side
    30,701.49x = 551,591,920.21
  5. Step 5: Solve for x
    x = 551,591,920.21/30,701.49
  6. Step 6: Final answer
    x = 17,966.29

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1.5x scale

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.