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Finding the Fourth Proportional to 30,653, 42,301.22 and 17,405

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Solution

The fourth proportional to 30,653, 42,301.22 and 17,405 is: 24,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653 : 42,301.22 = 17,405 : x
  2. Step 2: Convert to fraction form
    30,653/42,301.22 = 17,405/x
  3. Step 3: Cross multiply
    30,653x = 42,301.22 × 17,405
  4. Step 4: Simplify right side
    30,653x = 736,252,734.10
  5. Step 5: Solve for x
    x = 736,252,734.10/30,653
  6. Step 6: Final answer
    x = 24,018.95

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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.