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Finding the Fourth Proportional to 14,807.92, 20,429.70 and 9,505.60

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Solution

The fourth proportional to 14,807.92, 20,429.70 and 9,505.60 is: 13,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.92 : 20,429.70 = 9,505.60 : x
  2. Step 2: Convert to fraction form
    14,807.92/20,429.70 = 9,505.60/x
  3. Step 3: Cross multiply
    14,807.92x = 20,429.70 × 9,505.60
  4. Step 4: Simplify right side
    14,807.92x = 194,196,556.32
  5. Step 5: Solve for x
    x = 194,196,556.32/14,807.92
  6. Step 6: Final answer
    x = 13,114.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.