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Finding the Fourth Proportional to 32,308, 48,462 and 10,420

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Solution

The fourth proportional to 32,308, 48,462 and 10,420 is: 15,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308 : 48,462 = 10,420 : x
  2. Step 2: Convert to fraction form
    32,308/48,462 = 10,420/x
  3. Step 3: Cross multiply
    32,308x = 48,462 × 10,420
  4. Step 4: Simplify right side
    32,308x = 504,974,040
  5. Step 5: Solve for x
    x = 504,974,040/32,308
  6. Step 6: Final answer
    x = 15,630

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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.