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Finding the Fourth Proportional to 12,462.70, 18,706.20 and 9,719.20

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Solution

The fourth proportional to 12,462.70, 18,706.20 and 9,719.20 is: 14,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.70 : 18,706.20 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    12,462.70/18,706.20 = 9,719.20/x
  3. Step 3: Cross multiply
    12,462.70x = 18,706.20 × 9,719.20
  4. Step 4: Simplify right side
    12,462.70x = 181,809,299.04
  5. Step 5: Solve for x
    x = 181,809,299.04/12,462.70
  6. Step 6: Final answer
    x = 14,588.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.