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Finding the Fourth Proportional to 30,461.92, 45,692.40 and 9,685.12

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Solution

The fourth proportional to 30,461.92, 45,692.40 and 9,685.12 is: 14,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.92 : 45,692.40 = 9,685.12 : x
  2. Step 2: Convert to fraction form
    30,461.92/45,692.40 = 9,685.12/x
  3. Step 3: Cross multiply
    30,461.92x = 45,692.40 × 9,685.12
  4. Step 4: Simplify right side
    30,461.92x = 442,536,377.09
  5. Step 5: Solve for x
    x = 442,536,377.09/30,461.92
  6. Step 6: Final answer
    x = 14,527.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.