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Finding the Fourth Proportional to 12,384.68, 18,561.66 and 8,729

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Solution

The fourth proportional to 12,384.68, 18,561.66 and 8,729 is: 13,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.68 : 18,561.66 = 8,729 : x
  2. Step 2: Convert to fraction form
    12,384.68/18,561.66 = 8,729/x
  3. Step 3: Cross multiply
    12,384.68x = 18,561.66 × 8,729
  4. Step 4: Simplify right side
    12,384.68x = 162,024,730.14
  5. Step 5: Solve for x
    x = 162,024,730.14/12,384.68
  6. Step 6: Final answer
    x = 13,082.67

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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.