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Finding the Fourth Proportional to 13,602.42, 20,403.63 and 3,742.74

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Solution

The fourth proportional to 13,602.42, 20,403.63 and 3,742.74 is: 5,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.42 : 20,403.63 = 3,742.74 : x
  2. Step 2: Convert to fraction form
    13,602.42/20,403.63 = 3,742.74/x
  3. Step 3: Cross multiply
    13,602.42x = 20,403.63 × 3,742.74
  4. Step 4: Simplify right side
    13,602.42x = 76,365,482.15
  5. Step 5: Solve for x
    x = 76,365,482.15/13,602.42
  6. Step 6: Final answer
    x = 5,614.11

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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.