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Finding the Fourth Proportional to 30,185.88, 45,290.82 and 13,541.40

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Solution

The fourth proportional to 30,185.88, 45,290.82 and 13,541.40 is: 20,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185.88 : 45,290.82 = 13,541.40 : x
  2. Step 2: Convert to fraction form
    30,185.88/45,290.82 = 13,541.40/x
  3. Step 3: Cross multiply
    30,185.88x = 45,290.82 × 13,541.40
  4. Step 4: Simplify right side
    30,185.88x = 613,301,109.95
  5. Step 5: Solve for x
    x = 613,301,109.95/30,185.88
  6. Step 6: Final answer
    x = 20,317.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.