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Finding the Fourth Proportional to 30,459.60, 45,680.64 and 11,738.16

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Solution

The fourth proportional to 30,459.60, 45,680.64 and 11,738.16 is: 17,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.60 : 45,680.64 = 11,738.16 : x
  2. Step 2: Convert to fraction form
    30,459.60/45,680.64 = 11,738.16/x
  3. Step 3: Cross multiply
    30,459.60x = 45,680.64 × 11,738.16
  4. Step 4: Simplify right side
    30,459.60x = 536,206,661.22
  5. Step 5: Solve for x
    x = 536,206,661.22/30,459.60
  6. Step 6: Final answer
    x = 17,603.86

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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.