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Finding the Fourth Proportional to 12,557.14, 18,824.94 and 5,156.98

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Solution

The fourth proportional to 12,557.14, 18,824.94 and 5,156.98 is: 7,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.14 : 18,824.94 = 5,156.98 : x
  2. Step 2: Convert to fraction form
    12,557.14/18,824.94 = 5,156.98/x
  3. Step 3: Cross multiply
    12,557.14x = 18,824.94 × 5,156.98
  4. Step 4: Simplify right side
    12,557.14x = 97,079,839.08
  5. Step 5: Solve for x
    x = 97,079,839.08/12,557.14
  6. Step 6: Final answer
    x = 7,731.05

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1.5x scale

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.