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Finding the Fourth Proportional to 30,817, 42,527.46 and 17,569

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Solution

The fourth proportional to 30,817, 42,527.46 and 17,569 is: 24,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817 : 42,527.46 = 17,569 : x
  2. Step 2: Convert to fraction form
    30,817/42,527.46 = 17,569/x
  3. Step 3: Cross multiply
    30,817x = 42,527.46 × 17,569
  4. Step 4: Simplify right side
    30,817x = 747,164,944.74
  5. Step 5: Solve for x
    x = 747,164,944.74/30,817
  6. Step 6: Final answer
    x = 24,245.22

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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.