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Finding the Fourth Proportional to 30,650, 42,297.04 and 17,402

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Solution

The fourth proportional to 30,650, 42,297.04 and 17,402 is: 24,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650 : 42,297.04 = 17,402 : x
  2. Step 2: Convert to fraction form
    30,650/42,297.04 = 17,402/x
  3. Step 3: Cross multiply
    30,650x = 42,297.04 × 17,402
  4. Step 4: Simplify right side
    30,650x = 736,053,090.08
  5. Step 5: Solve for x
    x = 736,053,090.08/30,650
  6. Step 6: Final answer
    x = 24,014.78

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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.