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Finding the Fourth Proportional to 13,454, 18,566.54 and 7,566

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Solution

The fourth proportional to 13,454, 18,566.54 and 7,566 is: 10,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454 : 18,566.54 = 7,566 : x
  2. Step 2: Convert to fraction form
    13,454/18,566.54 = 7,566/x
  3. Step 3: Cross multiply
    13,454x = 18,566.54 × 7,566
  4. Step 4: Simplify right side
    13,454x = 140,474,441.64
  5. Step 5: Solve for x
    x = 140,474,441.64/13,454
  6. Step 6: Final answer
    x = 10,441.09

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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.