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Finding the Fourth Proportional to 38,602.80, 57,901.32 and 13,299.84

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Solution

The fourth proportional to 38,602.80, 57,901.32 and 13,299.84 is: 19,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.80 : 57,901.32 = 13,299.84 : x
  2. Step 2: Convert to fraction form
    38,602.80/57,901.32 = 13,299.84/x
  3. Step 3: Cross multiply
    38,602.80x = 57,901.32 × 13,299.84
  4. Step 4: Simplify right side
    38,602.80x = 770,078,291.79
  5. Step 5: Solve for x
    x = 770,078,291.79/38,602.80
  6. Step 6: Final answer
    x = 19,948.77

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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.