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Finding the Fourth Proportional to 30,889, 46,333.50 and 21,003.76

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Solution

The fourth proportional to 30,889, 46,333.50 and 21,003.76 is: 31,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889 : 46,333.50 = 21,003.76 : x
  2. Step 2: Convert to fraction form
    30,889/46,333.50 = 21,003.76/x
  3. Step 3: Cross multiply
    30,889x = 46,333.50 × 21,003.76
  4. Step 4: Simplify right side
    30,889x = 973,177,713.96
  5. Step 5: Solve for x
    x = 973,177,713.96/30,889
  6. Step 6: Final answer
    x = 31,505.64

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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.