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Finding the Fourth Proportional to 43,200, 64,800 and 10,368

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Solution

The fourth proportional to 43,200, 64,800 and 10,368 is: 15,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 64,800 = 10,368 : x
  2. Step 2: Convert to fraction form
    43,200/64,800 = 10,368/x
  3. Step 3: Cross multiply
    43,200x = 64,800 × 10,368
  4. Step 4: Simplify right side
    43,200x = 671,846,400
  5. Step 5: Solve for x
    x = 671,846,400/43,200
  6. Step 6: Final answer
    x = 15,552

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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.