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Finding the Fourth Proportional to 9,856.88, 13,602.40 and 5,380.66

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Solution

The fourth proportional to 9,856.88, 13,602.40 and 5,380.66 is: 7,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.88 : 13,602.40 = 5,380.66 : x
  2. Step 2: Convert to fraction form
    9,856.88/13,602.40 = 5,380.66/x
  3. Step 3: Cross multiply
    9,856.88x = 13,602.40 × 5,380.66
  4. Step 4: Simplify right side
    9,856.88x = 73,189,889.58
  5. Step 5: Solve for x
    x = 73,189,889.58/9,856.88
  6. Step 6: Final answer
    x = 7,425.26

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1.5x scale

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.