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Finding the Fourth Proportional to 30,774.75, 46,168.64 and 9,999.87

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Solution

The fourth proportional to 30,774.75, 46,168.64 and 9,999.87 is: 15,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.75 : 46,168.64 = 9,999.87 : x
  2. Step 2: Convert to fraction form
    30,774.75/46,168.64 = 9,999.87/x
  3. Step 3: Cross multiply
    30,774.75x = 46,168.64 × 9,999.87
  4. Step 4: Simplify right side
    30,774.75x = 461,680,348.08
  5. Step 5: Solve for x
    x = 461,680,348.08/30,774.75
  6. Step 6: Final answer
    x = 15,001.92

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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.