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Finding the Fourth Proportional to 12,310, 18,465 and 5,014

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Solution

The fourth proportional to 12,310, 18,465 and 5,014 is: 7,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310 : 18,465 = 5,014 : x
  2. Step 2: Convert to fraction form
    12,310/18,465 = 5,014/x
  3. Step 3: Cross multiply
    12,310x = 18,465 × 5,014
  4. Step 4: Simplify right side
    12,310x = 92,583,510
  5. Step 5: Solve for x
    x = 92,583,510/12,310
  6. Step 6: Final answer
    x = 7,521

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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.