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Finding the Fourth Proportional to 9,844.60, 13,602.84 and 7,871.44

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Solution

The fourth proportional to 9,844.60, 13,602.84 and 7,871.44 is: 10,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.60 : 13,602.84 = 7,871.44 : x
  2. Step 2: Convert to fraction form
    9,844.60/13,602.84 = 7,871.44/x
  3. Step 3: Cross multiply
    9,844.60x = 13,602.84 × 7,871.44
  4. Step 4: Simplify right side
    9,844.60x = 107,073,938.89
  5. Step 5: Solve for x
    x = 107,073,938.89/9,844.60
  6. Step 6: Final answer
    x = 10,876.41

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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.