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Finding the Fourth Proportional to 13,597.79, 20,377.24 and 7,742.30

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Solution

The fourth proportional to 13,597.79, 20,377.24 and 7,742.30 is: 11,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.79 : 20,377.24 = 7,742.30 : x
  2. Step 2: Convert to fraction form
    13,597.79/20,377.24 = 7,742.30/x
  3. Step 3: Cross multiply
    13,597.79x = 20,377.24 × 7,742.30
  4. Step 4: Simplify right side
    13,597.79x = 157,766,584.01
  5. Step 5: Solve for x
    x = 157,766,584.01/13,597.79
  6. Step 6: Final answer
    x = 11,602.37

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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.