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Finding the Fourth Proportional to 12,857.55, 17,760.36 and 9,868.25

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Solution

The fourth proportional to 12,857.55, 17,760.36 and 9,868.25 is: 13,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.55 : 17,760.36 = 9,868.25 : x
  2. Step 2: Convert to fraction form
    12,857.55/17,760.36 = 9,868.25/x
  3. Step 3: Cross multiply
    12,857.55x = 17,760.36 × 9,868.25
  4. Step 4: Simplify right side
    12,857.55x = 175,263,583.77
  5. Step 5: Solve for x
    x = 175,263,583.77/12,857.55
  6. Step 6: Final answer
    x = 13,631.18

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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.