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Finding the Fourth Proportional to 30,400.64, 45,603.84 and 9,627.20

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Solution

The fourth proportional to 30,400.64, 45,603.84 and 9,627.20 is: 14,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.64 : 45,603.84 = 9,627.20 : x
  2. Step 2: Convert to fraction form
    30,400.64/45,603.84 = 9,627.20/x
  3. Step 3: Cross multiply
    30,400.64x = 45,603.84 × 9,627.20
  4. Step 4: Simplify right side
    30,400.64x = 439,037,288.45
  5. Step 5: Solve for x
    x = 439,037,288.45/30,400.64
  6. Step 6: Final answer
    x = 14,441.71

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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.