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Finding the Fourth Proportional to 12,213.87, 16,851.92 and 7,038.47

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Solution

The fourth proportional to 12,213.87, 16,851.92 and 7,038.47 is: 9,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.87 : 16,851.92 = 7,038.47 : x
  2. Step 2: Convert to fraction form
    12,213.87/16,851.92 = 7,038.47/x
  3. Step 3: Cross multiply
    12,213.87x = 16,851.92 × 7,038.47
  4. Step 4: Simplify right side
    12,213.87x = 118,611,640.30
  5. Step 5: Solve for x
    x = 118,611,640.30/12,213.87
  6. Step 6: Final answer
    x = 9,711.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.