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Finding the Fourth Proportional to 43,518, 65,267.84 and 21,309

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Solution

The fourth proportional to 43,518, 65,267.84 and 21,309 is: 31,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,518 : 65,267.84 = 21,309 : x
  2. Step 2: Convert to fraction form
    43,518/65,267.84 = 21,309/x
  3. Step 3: Cross multiply
    43,518x = 65,267.84 × 21,309
  4. Step 4: Simplify right side
    43,518x = 1,390,792,402.56
  5. Step 5: Solve for x
    x = 1,390,792,402.56/43,518
  6. Step 6: Final answer
    x = 31,959.01

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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.