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Finding the Fourth Proportional to 30,808.80, 42,516 and 16,661.52

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Solution

The fourth proportional to 30,808.80, 42,516 and 16,661.52 is: 22,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.80 : 42,516 = 16,661.52 : x
  2. Step 2: Convert to fraction form
    30,808.80/42,516 = 16,661.52/x
  3. Step 3: Cross multiply
    30,808.80x = 42,516 × 16,661.52
  4. Step 4: Simplify right side
    30,808.80x = 708,381,184.32
  5. Step 5: Solve for x
    x = 708,381,184.32/30,808.80
  6. Step 6: Final answer
    x = 22,992.82

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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.