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Finding the Fourth Proportional to 30,640.60, 45,981.42 and 13,114.72

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Solution

The fourth proportional to 30,640.60, 45,981.42 and 13,114.72 is: 19,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.60 : 45,981.42 = 13,114.72 : x
  2. Step 2: Convert to fraction form
    30,640.60/45,981.42 = 13,114.72/x
  3. Step 3: Cross multiply
    30,640.60x = 45,981.42 × 13,114.72
  4. Step 4: Simplify right side
    30,640.60x = 603,033,448.50
  5. Step 5: Solve for x
    x = 603,033,448.50/30,640.60
  6. Step 6: Final answer
    x = 19,680.86

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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.