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Finding the Fourth Proportional to 14,483.42, 19,982.47 and 8,109.07

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Solution

The fourth proportional to 14,483.42, 19,982.47 and 8,109.07 is: 11,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.42 : 19,982.47 = 8,109.07 : x
  2. Step 2: Convert to fraction form
    14,483.42/19,982.47 = 8,109.07/x
  3. Step 3: Cross multiply
    14,483.42x = 19,982.47 × 8,109.07
  4. Step 4: Simplify right side
    14,483.42x = 162,039,248.00
  5. Step 5: Solve for x
    x = 162,039,248.00/14,483.42
  6. Step 6: Final answer
    x = 11,187.91

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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.