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Finding the Fourth Proportional to 31,299.28, 46,916.88 and 13,765.84

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Solution

The fourth proportional to 31,299.28, 46,916.88 and 13,765.84 is: 20,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.28 : 46,916.88 = 13,765.84 : x
  2. Step 2: Convert to fraction form
    31,299.28/46,916.88 = 13,765.84/x
  3. Step 3: Cross multiply
    31,299.28x = 46,916.88 × 13,765.84
  4. Step 4: Simplify right side
    31,299.28x = 645,850,263.38
  5. Step 5: Solve for x
    x = 645,850,263.38/31,299.28
  6. Step 6: Final answer
    x = 20,634.67

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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.