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Finding the Fourth Proportional to 30,086.12, 45,130.22 and 14,283

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Solution

The fourth proportional to 30,086.12, 45,130.22 and 14,283 is: 21,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086.12 : 45,130.22 = 14,283 : x
  2. Step 2: Convert to fraction form
    30,086.12/45,130.22 = 14,283/x
  3. Step 3: Cross multiply
    30,086.12x = 45,130.22 × 14,283
  4. Step 4: Simplify right side
    30,086.12x = 644,594,860.85
  5. Step 5: Solve for x
    x = 644,594,860.85/30,086.12
  6. Step 6: Final answer
    x = 21,424.99

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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.