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Finding the Fourth Proportional to 12,254, 16,920.05 and 9,416.90

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Solution

The fourth proportional to 12,254, 16,920.05 and 9,416.90 is: 13,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254 : 16,920.05 = 9,416.90 : x
  2. Step 2: Convert to fraction form
    12,254/16,920.05 = 9,416.90/x
  3. Step 3: Cross multiply
    12,254x = 16,920.05 × 9,416.90
  4. Step 4: Simplify right side
    12,254x = 159,334,418.85
  5. Step 5: Solve for x
    x = 159,334,418.85/12,254
  6. Step 6: Final answer
    x = 13,002.65

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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.