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Finding the Fourth Proportional to 30,935, 42,690.33 and 16,787.85

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Solution

The fourth proportional to 30,935, 42,690.33 and 16,787.85 is: 23,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935 : 42,690.33 = 16,787.85 : x
  2. Step 2: Convert to fraction form
    30,935/42,690.33 = 16,787.85/x
  3. Step 3: Cross multiply
    30,935x = 42,690.33 × 16,787.85
  4. Step 4: Simplify right side
    30,935x = 716,678,856.49
  5. Step 5: Solve for x
    x = 716,678,856.49/30,935
  6. Step 6: Final answer
    x = 23,167.25

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1.5x scale

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.