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Finding the Fourth Proportional to 19,868, 29,756.64 and 9,487.04

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Solution

The fourth proportional to 19,868, 29,756.64 and 9,487.04 is: 14,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868 : 29,756.64 = 9,487.04 : x
  2. Step 2: Convert to fraction form
    19,868/29,756.64 = 9,487.04/x
  3. Step 3: Cross multiply
    19,868x = 29,756.64 × 9,487.04
  4. Step 4: Simplify right side
    19,868x = 282,302,433.95
  5. Step 5: Solve for x
    x = 282,302,433.95/19,868
  6. Step 6: Final answer
    x = 14,208.90

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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.