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Finding the Fourth Proportional to 29,142.40, 43,724.40 and 9,421.60

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Solution

The fourth proportional to 29,142.40, 43,724.40 and 9,421.60 is: 14,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.40 : 43,724.40 = 9,421.60 : x
  2. Step 2: Convert to fraction form
    29,142.40/43,724.40 = 9,421.60/x
  3. Step 3: Cross multiply
    29,142.40x = 43,724.40 × 9,421.60
  4. Step 4: Simplify right side
    29,142.40x = 411,953,807.04
  5. Step 5: Solve for x
    x = 411,953,807.04/29,142.40
  6. Step 6: Final answer
    x = 14,135.89

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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.