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Finding the Fourth Proportional to 9,381.91, 14,072.87 and 3,140.76

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Solution

The fourth proportional to 9,381.91, 14,072.87 and 3,140.76 is: 4,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.91 : 14,072.87 = 3,140.76 : x
  2. Step 2: Convert to fraction form
    9,381.91/14,072.87 = 3,140.76/x
  3. Step 3: Cross multiply
    9,381.91x = 14,072.87 × 3,140.76
  4. Step 4: Simplify right side
    9,381.91x = 44,199,507.18
  5. Step 5: Solve for x
    x = 44,199,507.18/9,381.91
  6. Step 6: Final answer
    x = 4,711.14

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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.