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Finding the Fourth Proportional to 29,215.95, 43,828.14 and 9,218.64

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Solution

The fourth proportional to 29,215.95, 43,828.14 and 9,218.64 is: 13,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,215.95 : 43,828.14 = 9,218.64 : x
  2. Step 2: Convert to fraction form
    29,215.95/43,828.14 = 9,218.64/x
  3. Step 3: Cross multiply
    29,215.95x = 43,828.14 × 9,218.64
  4. Step 4: Simplify right side
    29,215.95x = 404,036,043.46
  5. Step 5: Solve for x
    x = 404,036,043.46/29,215.95
  6. Step 6: Final answer
    x = 13,829.30

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1.5x scale

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.