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Finding the Fourth Proportional to 30,784, 42,486.08 and 17,358

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Solution

The fourth proportional to 30,784, 42,486.08 and 17,358 is: 23,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784 : 42,486.08 = 17,358 : x
  2. Step 2: Convert to fraction form
    30,784/42,486.08 = 17,358/x
  3. Step 3: Cross multiply
    30,784x = 42,486.08 × 17,358
  4. Step 4: Simplify right side
    30,784x = 737,473,376.64
  5. Step 5: Solve for x
    x = 737,473,376.64/30,784
  6. Step 6: Final answer
    x = 23,956.39

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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.