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Finding the Fourth Proportional to 9,857.60, 14,750.40 and 7,265.60

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Solution

The fourth proportional to 9,857.60, 14,750.40 and 7,265.60 is: 10,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.60 : 14,750.40 = 7,265.60 : x
  2. Step 2: Convert to fraction form
    9,857.60/14,750.40 = 7,265.60/x
  3. Step 3: Cross multiply
    9,857.60x = 14,750.40 × 7,265.60
  4. Step 4: Simplify right side
    9,857.60x = 107,170,506.24
  5. Step 5: Solve for x
    x = 107,170,506.24/9,857.60
  6. Step 6: Final answer
    x = 10,871.87

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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.