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Finding the Fourth Proportional to 19,866, 29,753.64 and 9,485.04

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Solution

The fourth proportional to 19,866, 29,753.64 and 9,485.04 is: 14,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 29,753.64 = 9,485.04 : x
  2. Step 2: Convert to fraction form
    19,866/29,753.64 = 9,485.04/x
  3. Step 3: Cross multiply
    19,866x = 29,753.64 × 9,485.04
  4. Step 4: Simplify right side
    19,866x = 282,214,465.55
  5. Step 5: Solve for x
    x = 282,214,465.55/19,866
  6. Step 6: Final answer
    x = 14,205.90

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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.