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Finding the Fourth Proportional to 30,425.54, 41,987.14 and 16,813.20

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Solution

The fourth proportional to 30,425.54, 41,987.14 and 16,813.20 is: 23,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425.54 : 41,987.14 = 16,813.20 : x
  2. Step 2: Convert to fraction form
    30,425.54/41,987.14 = 16,813.20/x
  3. Step 3: Cross multiply
    30,425.54x = 41,987.14 × 16,813.20
  4. Step 4: Simplify right side
    30,425.54x = 705,938,098.18
  5. Step 5: Solve for x
    x = 705,938,098.18/30,425.54
  6. Step 6: Final answer
    x = 23,202.16

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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.