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Finding the Fourth Proportional to 12,992.16, 17,929.10 and 7,023.84

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Solution

The fourth proportional to 12,992.16, 17,929.10 and 7,023.84 is: 9,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.16 : 17,929.10 = 7,023.84 : x
  2. Step 2: Convert to fraction form
    12,992.16/17,929.10 = 7,023.84/x
  3. Step 3: Cross multiply
    12,992.16x = 17,929.10 × 7,023.84
  4. Step 4: Simplify right side
    12,992.16x = 125,931,129.74
  5. Step 5: Solve for x
    x = 125,931,129.74/12,992.16
  6. Step 6: Final answer
    x = 9,692.86

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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.