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Finding the Fourth Proportional to 14,145.17, 19,509.08 and 9,109.81

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Solution

The fourth proportional to 14,145.17, 19,509.08 and 9,109.81 is: 12,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.17 : 19,509.08 = 9,109.81 : x
  2. Step 2: Convert to fraction form
    14,145.17/19,509.08 = 9,109.81/x
  3. Step 3: Cross multiply
    14,145.17x = 19,509.08 × 9,109.81
  4. Step 4: Simplify right side
    14,145.17x = 177,723,917.75
  5. Step 5: Solve for x
    x = 177,723,917.75/14,145.17
  6. Step 6: Final answer
    x = 12,564.28

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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.