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Finding the Fourth Proportional to 39,880.96, 59,812.80 and 14,920

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Solution

The fourth proportional to 39,880.96, 59,812.80 and 14,920 is: 22,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,880.96 : 59,812.80 = 14,920 : x
  2. Step 2: Convert to fraction form
    39,880.96/59,812.80 = 14,920/x
  3. Step 3: Cross multiply
    39,880.96x = 59,812.80 × 14,920
  4. Step 4: Simplify right side
    39,880.96x = 892,406,976
  5. Step 5: Solve for x
    x = 892,406,976/39,880.96
  6. Step 6: Final answer
    x = 22,376.77

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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.