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Finding the Fourth Proportional to 42,308, 63,462 and 17,684

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Solution

The fourth proportional to 42,308, 63,462 and 17,684 is: 26,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308 : 63,462 = 17,684 : x
  2. Step 2: Convert to fraction form
    42,308/63,462 = 17,684/x
  3. Step 3: Cross multiply
    42,308x = 63,462 × 17,684
  4. Step 4: Simplify right side
    42,308x = 1,122,262,008
  5. Step 5: Solve for x
    x = 1,122,262,008/42,308
  6. Step 6: Final answer
    x = 26,526

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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.