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Finding the Fourth Proportional to 14,405, 19,878.96 and 8,117.48

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Solution

The fourth proportional to 14,405, 19,878.96 and 8,117.48 is: 11,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405 : 19,878.96 = 8,117.48 : x
  2. Step 2: Convert to fraction form
    14,405/19,878.96 = 8,117.48/x
  3. Step 3: Cross multiply
    14,405x = 19,878.96 × 8,117.48
  4. Step 4: Simplify right side
    14,405x = 161,367,060.22
  5. Step 5: Solve for x
    x = 161,367,060.22/14,405
  6. Step 6: Final answer
    x = 11,202.16

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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.