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Finding the Fourth Proportional to 43,827, 65,740.50 and 14,643

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Solution

The fourth proportional to 43,827, 65,740.50 and 14,643 is: 21,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,827 : 65,740.50 = 14,643 : x
  2. Step 2: Convert to fraction form
    43,827/65,740.50 = 14,643/x
  3. Step 3: Cross multiply
    43,827x = 65,740.50 × 14,643
  4. Step 4: Simplify right side
    43,827x = 962,638,141.50
  5. Step 5: Solve for x
    x = 962,638,141.50/43,827
  6. Step 6: Final answer
    x = 21,964.50

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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.