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Finding the Fourth Proportional to 30,740.40, 46,110.60 and 9,963.90

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Solution

The fourth proportional to 30,740.40, 46,110.60 and 9,963.90 is: 14,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.40 : 46,110.60 = 9,963.90 : x
  2. Step 2: Convert to fraction form
    30,740.40/46,110.60 = 9,963.90/x
  3. Step 3: Cross multiply
    30,740.40x = 46,110.60 × 9,963.90
  4. Step 4: Simplify right side
    30,740.40x = 459,441,407.34
  5. Step 5: Solve for x
    x = 459,441,407.34/30,740.40
  6. Step 6: Final answer
    x = 14,945.85

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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.