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Finding the Fourth Proportional to 12,725.84, 17,565 and 7,138.64

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Solution

The fourth proportional to 12,725.84, 17,565 and 7,138.64 is: 9,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.84 : 17,565 = 7,138.64 : x
  2. Step 2: Convert to fraction form
    12,725.84/17,565 = 7,138.64/x
  3. Step 3: Cross multiply
    12,725.84x = 17,565 × 7,138.64
  4. Step 4: Simplify right side
    12,725.84x = 125,390,211.60
  5. Step 5: Solve for x
    x = 125,390,211.60/12,725.84
  6. Step 6: Final answer
    x = 9,853.20

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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.