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Finding the Fourth Proportional to 12,712.36, 19,068.54 and 5,782

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Solution

The fourth proportional to 12,712.36, 19,068.54 and 5,782 is: 8,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.36 : 19,068.54 = 5,782 : x
  2. Step 2: Convert to fraction form
    12,712.36/19,068.54 = 5,782/x
  3. Step 3: Cross multiply
    12,712.36x = 19,068.54 × 5,782
  4. Step 4: Simplify right side
    12,712.36x = 110,254,298.28
  5. Step 5: Solve for x
    x = 110,254,298.28/12,712.36
  6. Step 6: Final answer
    x = 8,673

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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.