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Finding the Fourth Proportional to 30,564, 42,178.96 and 17,316

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Solution

The fourth proportional to 30,564, 42,178.96 and 17,316 is: 23,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 42,178.96 = 17,316 : x
  2. Step 2: Convert to fraction form
    30,564/42,178.96 = 17,316/x
  3. Step 3: Cross multiply
    30,564x = 42,178.96 × 17,316
  4. Step 4: Simplify right side
    30,564x = 730,370,871.36
  5. Step 5: Solve for x
    x = 730,370,871.36/30,564
  6. Step 6: Final answer
    x = 23,896.44

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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.