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Finding the Fourth Proportional to 29,011.60, 43,518 and 9,290.10

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Solution

The fourth proportional to 29,011.60, 43,518 and 9,290.10 is: 13,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,011.60 : 43,518 = 9,290.10 : x
  2. Step 2: Convert to fraction form
    29,011.60/43,518 = 9,290.10/x
  3. Step 3: Cross multiply
    29,011.60x = 43,518 × 9,290.10
  4. Step 4: Simplify right side
    29,011.60x = 404,286,571.80
  5. Step 5: Solve for x
    x = 404,286,571.80/29,011.60
  6. Step 6: Final answer
    x = 13,935.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.