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Finding the Fourth Proportional to 9,856.26, 13,601.58 and 5,380

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Solution

The fourth proportional to 9,856.26, 13,601.58 and 5,380 is: 7,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.26 : 13,601.58 = 5,380 : x
  2. Step 2: Convert to fraction form
    9,856.26/13,601.58 = 5,380/x
  3. Step 3: Cross multiply
    9,856.26x = 13,601.58 × 5,380
  4. Step 4: Simplify right side
    9,856.26x = 73,176,500.40
  5. Step 5: Solve for x
    x = 73,176,500.40/9,856.26
  6. Step 6: Final answer
    x = 7,424.37

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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.