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Finding the Fourth Proportional to 12,671.16, 19,005.12 and 5,274.24

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Solution

The fourth proportional to 12,671.16, 19,005.12 and 5,274.24 is: 7,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.16 : 19,005.12 = 5,274.24 : x
  2. Step 2: Convert to fraction form
    12,671.16/19,005.12 = 5,274.24/x
  3. Step 3: Cross multiply
    12,671.16x = 19,005.12 × 5,274.24
  4. Step 4: Simplify right side
    12,671.16x = 100,237,564.11
  5. Step 5: Solve for x
    x = 100,237,564.11/12,671.16
  6. Step 6: Final answer
    x = 7,910.69

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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.