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Finding the Fourth Proportional to 9,845, 13,586.10 and 5,429

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Solution

The fourth proportional to 9,845, 13,586.10 and 5,429 is: 7,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845 : 13,586.10 = 5,429 : x
  2. Step 2: Convert to fraction form
    9,845/13,586.10 = 5,429/x
  3. Step 3: Cross multiply
    9,845x = 13,586.10 × 5,429
  4. Step 4: Simplify right side
    9,845x = 73,758,936.90
  5. Step 5: Solve for x
    x = 73,758,936.90/9,845
  6. Step 6: Final answer
    x = 7,492.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.