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Finding the Fourth Proportional to 30,401, 45,564.06 and 21,588.20

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Solution

The fourth proportional to 30,401, 45,564.06 and 21,588.20 is: 32,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401 : 45,564.06 = 21,588.20 : x
  2. Step 2: Convert to fraction form
    30,401/45,564.06 = 21,588.20/x
  3. Step 3: Cross multiply
    30,401x = 45,564.06 × 21,588.20
  4. Step 4: Simplify right side
    30,401x = 983,646,040.09
  5. Step 5: Solve for x
    x = 983,646,040.09/30,401
  6. Step 6: Final answer
    x = 32,355.71

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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.