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Finding the Fourth Proportional to 14,095.64, 19,438.56 and 8,429.47

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Solution

The fourth proportional to 14,095.64, 19,438.56 and 8,429.47 is: 11,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.64 : 19,438.56 = 8,429.47 : x
  2. Step 2: Convert to fraction form
    14,095.64/19,438.56 = 8,429.47/x
  3. Step 3: Cross multiply
    14,095.64x = 19,438.56 × 8,429.47
  4. Step 4: Simplify right side
    14,095.64x = 163,856,709.77
  5. Step 5: Solve for x
    x = 163,856,709.77/14,095.64
  6. Step 6: Final answer
    x = 11,624.64

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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.