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Finding the Fourth Proportional to 30,664.62, 45,987.21 and 13,129.74

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Solution

The fourth proportional to 30,664.62, 45,987.21 and 13,129.74 is: 19,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.62 : 45,987.21 = 13,129.74 : x
  2. Step 2: Convert to fraction form
    30,664.62/45,987.21 = 13,129.74/x
  3. Step 3: Cross multiply
    30,664.62x = 45,987.21 × 13,129.74
  4. Step 4: Simplify right side
    30,664.62x = 603,800,110.63
  5. Step 5: Solve for x
    x = 603,800,110.63/30,664.62
  6. Step 6: Final answer
    x = 19,690.45

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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.