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Finding the Fourth Proportional to 12,955.32, 17,856.82 and 9,173.64

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Solution

The fourth proportional to 12,955.32, 17,856.82 and 9,173.64 is: 12,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.32 : 17,856.82 = 9,173.64 : x
  2. Step 2: Convert to fraction form
    12,955.32/17,856.82 = 9,173.64/x
  3. Step 3: Cross multiply
    12,955.32x = 17,856.82 × 9,173.64
  4. Step 4: Simplify right side
    12,955.32x = 163,812,038.22
  5. Step 5: Solve for x
    x = 163,812,038.22/12,955.32
  6. Step 6: Final answer
    x = 12,644.38

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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.