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Finding the Fourth Proportional to 43,870, 65,811.84 and 14,280.84

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Solution

The fourth proportional to 43,870, 65,811.84 and 14,280.84 is: 21,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,870 : 65,811.84 = 14,280.84 : x
  2. Step 2: Convert to fraction form
    43,870/65,811.84 = 14,280.84/x
  3. Step 3: Cross multiply
    43,870x = 65,811.84 × 14,280.84
  4. Step 4: Simplify right side
    43,870x = 939,848,357.15
  5. Step 5: Solve for x
    x = 939,848,357.15/43,870
  6. Step 6: Final answer
    x = 21,423.49

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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.