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Finding the Fourth Proportional to 42,400, 63,600 and 13,216

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Solution

The fourth proportional to 42,400, 63,600 and 13,216 is: 19,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,400 : 63,600 = 13,216 : x
  2. Step 2: Convert to fraction form
    42,400/63,600 = 13,216/x
  3. Step 3: Cross multiply
    42,400x = 63,600 × 13,216
  4. Step 4: Simplify right side
    42,400x = 840,537,600
  5. Step 5: Solve for x
    x = 840,537,600/42,400
  6. Step 6: Final answer
    x = 19,824

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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.