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Finding the Fourth Proportional to 13,833.34, 20,770.74 and 7,916.89

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Solution

The fourth proportional to 13,833.34, 20,770.74 and 7,916.89 is: 11,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.34 : 20,770.74 = 7,916.89 : x
  2. Step 2: Convert to fraction form
    13,833.34/20,770.74 = 7,916.89/x
  3. Step 3: Cross multiply
    13,833.34x = 20,770.74 × 7,916.89
  4. Step 4: Simplify right side
    13,833.34x = 164,439,663.80
  5. Step 5: Solve for x
    x = 164,439,663.80/13,833.34
  6. Step 6: Final answer
    x = 11,887.20

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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.