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Finding the Fourth Proportional to 9,381.78, 14,065.64 and 3,138.16

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Solution

The fourth proportional to 9,381.78, 14,065.64 and 3,138.16 is: 4,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.78 : 14,065.64 = 3,138.16 : x
  2. Step 2: Convert to fraction form
    9,381.78/14,065.64 = 3,138.16/x
  3. Step 3: Cross multiply
    9,381.78x = 14,065.64 × 3,138.16
  4. Step 4: Simplify right side
    9,381.78x = 44,140,228.82
  5. Step 5: Solve for x
    x = 44,140,228.82/9,381.78
  6. Step 6: Final answer
    x = 4,704.89

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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.