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Finding the Fourth Proportional to 27,078.04, 40,614.38 and 8,353

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Solution

The fourth proportional to 27,078.04, 40,614.38 and 8,353 is: 12,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.04 : 40,614.38 = 8,353 : x
  2. Step 2: Convert to fraction form
    27,078.04/40,614.38 = 8,353/x
  3. Step 3: Cross multiply
    27,078.04x = 40,614.38 × 8,353
  4. Step 4: Simplify right side
    27,078.04x = 339,251,916.14
  5. Step 5: Solve for x
    x = 339,251,916.14/27,078.04
  6. Step 6: Final answer
    x = 12,528.67

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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.