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Finding the Fourth Proportional to 12,880, 19,312.90 and 3,992.87

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Solution

The fourth proportional to 12,880, 19,312.90 and 3,992.87 is: 5,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880 : 19,312.90 = 3,992.87 : x
  2. Step 2: Convert to fraction form
    12,880/19,312.90 = 3,992.87/x
  3. Step 3: Cross multiply
    12,880x = 19,312.90 × 3,992.87
  4. Step 4: Simplify right side
    12,880x = 77,113,899.02
  5. Step 5: Solve for x
    x = 77,113,899.02/12,880
  6. Step 6: Final answer
    x = 5,987.10

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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.