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Finding the Fourth Proportional to 20,509.04, 30,763.52 and 6,658

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Solution

The fourth proportional to 20,509.04, 30,763.52 and 6,658 is: 9,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.04 : 30,763.52 = 6,658 : x
  2. Step 2: Convert to fraction form
    20,509.04/30,763.52 = 6,658/x
  3. Step 3: Cross multiply
    20,509.04x = 30,763.52 × 6,658
  4. Step 4: Simplify right side
    20,509.04x = 204,823,516.16
  5. Step 5: Solve for x
    x = 204,823,516.16/20,509.04
  6. Step 6: Final answer
    x = 9,986.99

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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.