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Finding the Fourth Proportional to 30,149.54, 45,209.93 and 13,509.71

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Solution

The fourth proportional to 30,149.54, 45,209.93 and 13,509.71 is: 20,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.54 : 45,209.93 = 13,509.71 : x
  2. Step 2: Convert to fraction form
    30,149.54/45,209.93 = 13,509.71/x
  3. Step 3: Cross multiply
    30,149.54x = 45,209.93 × 13,509.71
  4. Step 4: Simplify right side
    30,149.54x = 610,772,749.82
  5. Step 5: Solve for x
    x = 610,772,749.82/30,149.54
  6. Step 6: Final answer
    x = 20,258.12

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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.