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Finding the Fourth Proportional to 12,955, 17,877.90 and 7,366

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Solution

The fourth proportional to 12,955, 17,877.90 and 7,366 is: 10,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955 : 17,877.90 = 7,366 : x
  2. Step 2: Convert to fraction form
    12,955/17,877.90 = 7,366/x
  3. Step 3: Cross multiply
    12,955x = 17,877.90 × 7,366
  4. Step 4: Simplify right side
    12,955x = 131,688,611.40
  5. Step 5: Solve for x
    x = 131,688,611.40/12,955
  6. Step 6: Final answer
    x = 10,165.08

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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.