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Finding the Fourth Proportional to 30,429, 41,990.40 and 17,000.82

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Solution

The fourth proportional to 30,429, 41,990.40 and 17,000.82 is: 23,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429 : 41,990.40 = 17,000.82 : x
  2. Step 2: Convert to fraction form
    30,429/41,990.40 = 17,000.82/x
  3. Step 3: Cross multiply
    30,429x = 41,990.40 × 17,000.82
  4. Step 4: Simplify right side
    30,429x = 713,871,232.13
  5. Step 5: Solve for x
    x = 713,871,232.13/30,429
  6. Step 6: Final answer
    x = 23,460.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.