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Finding the Fourth Proportional to 43,215, 64,822.50 and 14,031

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Solution

The fourth proportional to 43,215, 64,822.50 and 14,031 is: 21,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,215 : 64,822.50 = 14,031 : x
  2. Step 2: Convert to fraction form
    43,215/64,822.50 = 14,031/x
  3. Step 3: Cross multiply
    43,215x = 64,822.50 × 14,031
  4. Step 4: Simplify right side
    43,215x = 909,524,497.50
  5. Step 5: Solve for x
    x = 909,524,497.50/43,215
  6. Step 6: Final answer
    x = 21,046.50

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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.