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Finding the Fourth Proportional to 30,653.67, 45,942.03 and 13,102.86

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Solution

The fourth proportional to 30,653.67, 45,942.03 and 13,102.86 is: 19,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.67 : 45,942.03 = 13,102.86 : x
  2. Step 2: Convert to fraction form
    30,653.67/45,942.03 = 13,102.86/x
  3. Step 3: Cross multiply
    30,653.67x = 45,942.03 × 13,102.86
  4. Step 4: Simplify right side
    30,653.67x = 601,971,987.21
  5. Step 5: Solve for x
    x = 601,971,987.21/30,653.67
  6. Step 6: Final answer
    x = 19,637.84

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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.