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Finding the Fourth Proportional to 12,115.77, 16,715.43 and 7,078.20

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Solution

The fourth proportional to 12,115.77, 16,715.43 and 7,078.20 is: 9,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.77 : 16,715.43 = 7,078.20 : x
  2. Step 2: Convert to fraction form
    12,115.77/16,715.43 = 7,078.20/x
  3. Step 3: Cross multiply
    12,115.77x = 16,715.43 × 7,078.20
  4. Step 4: Simplify right side
    12,115.77x = 118,315,156.63
  5. Step 5: Solve for x
    x = 118,315,156.63/12,115.77
  6. Step 6: Final answer
    x = 9,765.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.