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Finding the Fourth Proportional to 30,140.54, 45,205.65 and 7,954.15

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Solution

The fourth proportional to 30,140.54, 45,205.65 and 7,954.15 is: 11,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.54 : 45,205.65 = 7,954.15 : x
  2. Step 2: Convert to fraction form
    30,140.54/45,205.65 = 7,954.15/x
  3. Step 3: Cross multiply
    30,140.54x = 45,205.65 × 7,954.15
  4. Step 4: Simplify right side
    30,140.54x = 359,572,520.95
  5. Step 5: Solve for x
    x = 359,572,520.95/30,140.54
  6. Step 6: Final answer
    x = 11,929.86

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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.