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Finding the Fourth Proportional to 43,212, 64,818 and 10,380

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Solution

The fourth proportional to 43,212, 64,818 and 10,380 is: 15,570

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,212 : 64,818 = 10,380 : x
  2. Step 2: Convert to fraction form
    43,212/64,818 = 10,380/x
  3. Step 3: Cross multiply
    43,212x = 64,818 × 10,380
  4. Step 4: Simplify right side
    43,212x = 672,810,840
  5. Step 5: Solve for x
    x = 672,810,840/43,212
  6. Step 6: Final answer
    x = 15,570

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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.