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Finding the Fourth Proportional to 30,530.40, 45,795.60 and 9,753.90

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Solution

The fourth proportional to 30,530.40, 45,795.60 and 9,753.90 is: 14,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.40 : 45,795.60 = 9,753.90 : x
  2. Step 2: Convert to fraction form
    30,530.40/45,795.60 = 9,753.90/x
  3. Step 3: Cross multiply
    30,530.40x = 45,795.60 × 9,753.90
  4. Step 4: Simplify right side
    30,530.40x = 446,685,702.84
  5. Step 5: Solve for x
    x = 446,685,702.84/30,530.40
  6. Step 6: Final answer
    x = 14,630.85

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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.