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Finding the Fourth Proportional to 12,462.81, 17,187.84 and 10,783.68

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Solution

The fourth proportional to 12,462.81, 17,187.84 and 10,783.68 is: 14,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.81 : 17,187.84 = 10,783.68 : x
  2. Step 2: Convert to fraction form
    12,462.81/17,187.84 = 10,783.68/x
  3. Step 3: Cross multiply
    12,462.81x = 17,187.84 × 10,783.68
  4. Step 4: Simplify right side
    12,462.81x = 185,348,166.45
  5. Step 5: Solve for x
    x = 185,348,166.45/12,462.81
  6. Step 6: Final answer
    x = 14,872.10

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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.