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Finding the Fourth Proportional to 14,359.71, 19,813.54 and 8,390.22

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Solution

The fourth proportional to 14,359.71, 19,813.54 and 8,390.22 is: 11,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.71 : 19,813.54 = 8,390.22 : x
  2. Step 2: Convert to fraction form
    14,359.71/19,813.54 = 8,390.22/x
  3. Step 3: Cross multiply
    14,359.71x = 19,813.54 × 8,390.22
  4. Step 4: Simplify right side
    14,359.71x = 166,239,940.03
  5. Step 5: Solve for x
    x = 166,239,940.03/14,359.71
  6. Step 6: Final answer
    x = 11,576.84

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1.5x scale

Why These Related Problems?

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