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Finding the Fourth Proportional to 30,131.85, 45,197.85 and 9,071.95

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Solution

The fourth proportional to 30,131.85, 45,197.85 and 9,071.95 is: 13,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131.85 : 45,197.85 = 9,071.95 : x
  2. Step 2: Convert to fraction form
    30,131.85/45,197.85 = 9,071.95/x
  3. Step 3: Cross multiply
    30,131.85x = 45,197.85 × 9,071.95
  4. Step 4: Simplify right side
    30,131.85x = 410,032,590.05
  5. Step 5: Solve for x
    x = 410,032,590.05/30,131.85
  6. Step 6: Final answer
    x = 13,607.95

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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.