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Finding the Fourth Proportional to 14,349.69, 19,804.95 and 8,381.34

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Solution

The fourth proportional to 14,349.69, 19,804.95 and 8,381.34 is: 11,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.69 : 19,804.95 = 8,381.34 : x
  2. Step 2: Convert to fraction form
    14,349.69/19,804.95 = 8,381.34/x
  3. Step 3: Cross multiply
    14,349.69x = 19,804.95 × 8,381.34
  4. Step 4: Simplify right side
    14,349.69x = 165,992,019.63
  5. Step 5: Solve for x
    x = 165,992,019.63/14,349.69
  6. Step 6: Final answer
    x = 11,567.64

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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.