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Finding the Fourth Proportional to 12,885, 19,322.58 and 5,492.92

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Solution

The fourth proportional to 12,885, 19,322.58 and 5,492.92 is: 8,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885 : 19,322.58 = 5,492.92 : x
  2. Step 2: Convert to fraction form
    12,885/19,322.58 = 5,492.92/x
  3. Step 3: Cross multiply
    12,885x = 19,322.58 × 5,492.92
  4. Step 4: Simplify right side
    12,885x = 106,137,386.13
  5. Step 5: Solve for x
    x = 106,137,386.13/12,885
  6. Step 6: Final answer
    x = 8,237.28

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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.