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Finding the Fourth Proportional to 21,854.50, 30,159.21 and 11,918.50

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Solution

The fourth proportional to 21,854.50, 30,159.21 and 11,918.50 is: 16,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.50 : 30,159.21 = 11,918.50 : x
  2. Step 2: Convert to fraction form
    21,854.50/30,159.21 = 11,918.50/x
  3. Step 3: Cross multiply
    21,854.50x = 30,159.21 × 11,918.50
  4. Step 4: Simplify right side
    21,854.50x = 359,452,544.39
  5. Step 5: Solve for x
    x = 359,452,544.39/21,854.50
  6. Step 6: Final answer
    x = 16,447.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.