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Finding the Fourth Proportional to 9,126, 13,690.80 and 2,886.93

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Solution

The fourth proportional to 9,126, 13,690.80 and 2,886.93 is: 4,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126 : 13,690.80 = 2,886.93 : x
  2. Step 2: Convert to fraction form
    9,126/13,690.80 = 2,886.93/x
  3. Step 3: Cross multiply
    9,126x = 13,690.80 × 2,886.93
  4. Step 4: Simplify right side
    9,126x = 39,524,381.24
  5. Step 5: Solve for x
    x = 39,524,381.24/9,126
  6. Step 6: Final answer
    x = 4,330.96

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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.