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Finding the Fourth Proportional to 42,390, 63,585 and 13,206

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Solution

The fourth proportional to 42,390, 63,585 and 13,206 is: 19,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,390 : 63,585 = 13,206 : x
  2. Step 2: Convert to fraction form
    42,390/63,585 = 13,206/x
  3. Step 3: Cross multiply
    42,390x = 63,585 × 13,206
  4. Step 4: Simplify right side
    42,390x = 839,703,510
  5. Step 5: Solve for x
    x = 839,703,510/42,390
  6. Step 6: Final answer
    x = 19,809

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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.