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Finding the Fourth Proportional to 30,921.45, 46,384.68 and 8,735.01

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Solution

The fourth proportional to 30,921.45, 46,384.68 and 8,735.01 is: 13,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.45 : 46,384.68 = 8,735.01 : x
  2. Step 2: Convert to fraction form
    30,921.45/46,384.68 = 8,735.01/x
  3. Step 3: Cross multiply
    30,921.45x = 46,384.68 × 8,735.01
  4. Step 4: Simplify right side
    30,921.45x = 405,170,502.46
  5. Step 5: Solve for x
    x = 405,170,502.46/30,921.45
  6. Step 6: Final answer
    x = 13,103.22

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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.