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Finding the Fourth Proportional to 43,517, 65,266.35 and 21,308

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Solution

The fourth proportional to 43,517, 65,266.35 and 21,308 is: 31,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,517 : 65,266.35 = 21,308 : x
  2. Step 2: Convert to fraction form
    43,517/65,266.35 = 21,308/x
  3. Step 3: Cross multiply
    43,517x = 65,266.35 × 21,308
  4. Step 4: Simplify right side
    43,517x = 1,390,695,385.80
  5. Step 5: Solve for x
    x = 1,390,695,385.80/43,517
  6. Step 6: Final answer
    x = 31,957.52

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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.