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Finding the Fourth Proportional to 12,586.59, 18,894.47 and 6,754.59

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Solution

The fourth proportional to 12,586.59, 18,894.47 and 6,754.59 is: 10,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.59 : 18,894.47 = 6,754.59 : x
  2. Step 2: Convert to fraction form
    12,586.59/18,894.47 = 6,754.59/x
  3. Step 3: Cross multiply
    12,586.59x = 18,894.47 × 6,754.59
  4. Step 4: Simplify right side
    12,586.59x = 127,624,398.12
  5. Step 5: Solve for x
    x = 127,624,398.12/12,586.59
  6. Step 6: Final answer
    x = 10,139.71

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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.