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Finding the Fourth Proportional to 12,171.46, 16,792.53 and 9,929.46

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Solution

The fourth proportional to 12,171.46, 16,792.53 and 9,929.46 is: 13,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.46 : 16,792.53 = 9,929.46 : x
  2. Step 2: Convert to fraction form
    12,171.46/16,792.53 = 9,929.46/x
  3. Step 3: Cross multiply
    12,171.46x = 16,792.53 × 9,929.46
  4. Step 4: Simplify right side
    12,171.46x = 166,740,754.93
  5. Step 5: Solve for x
    x = 166,740,754.93/12,171.46
  6. Step 6: Final answer
    x = 13,699.32

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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.