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Finding the Fourth Proportional to 30,409.77, 45,621.06 and 11,434.52

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Solution

The fourth proportional to 30,409.77, 45,621.06 and 11,434.52 is: 17,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.77 : 45,621.06 = 11,434.52 : x
  2. Step 2: Convert to fraction form
    30,409.77/45,621.06 = 11,434.52/x
  3. Step 3: Cross multiply
    30,409.77x = 45,621.06 × 11,434.52
  4. Step 4: Simplify right side
    30,409.77x = 521,654,922.99
  5. Step 5: Solve for x
    x = 521,654,922.99/30,409.77
  6. Step 6: Final answer
    x = 17,154.19

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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.