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Finding the Fourth Proportional to 12,472.84, 18,713.32 and 8,329.68

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Solution

The fourth proportional to 12,472.84, 18,713.32 and 8,329.68 is: 12,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.84 : 18,713.32 = 8,329.68 : x
  2. Step 2: Convert to fraction form
    12,472.84/18,713.32 = 8,329.68/x
  3. Step 3: Cross multiply
    12,472.84x = 18,713.32 × 8,329.68
  4. Step 4: Simplify right side
    12,472.84x = 155,875,967.34
  5. Step 5: Solve for x
    x = 155,875,967.34/12,472.84
  6. Step 6: Final answer
    x = 12,497.23

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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.