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Finding the Fourth Proportional to 30,288.64, 45,440.28 and 9,512.14

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Solution

The fourth proportional to 30,288.64, 45,440.28 and 9,512.14 is: 14,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.64 : 45,440.28 = 9,512.14 : x
  2. Step 2: Convert to fraction form
    30,288.64/45,440.28 = 9,512.14/x
  3. Step 3: Cross multiply
    30,288.64x = 45,440.28 × 9,512.14
  4. Step 4: Simplify right side
    30,288.64x = 432,234,305.00
  5. Step 5: Solve for x
    x = 432,234,305.00/30,288.64
  6. Step 6: Final answer
    x = 14,270.51

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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.