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Finding the Fourth Proportional to 20,289.04, 30,436 and 7,806.16

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Solution

The fourth proportional to 20,289.04, 30,436 and 7,806.16 is: 11,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.04 : 30,436 = 7,806.16 : x
  2. Step 2: Convert to fraction form
    20,289.04/30,436 = 7,806.16/x
  3. Step 3: Cross multiply
    20,289.04x = 30,436 × 7,806.16
  4. Step 4: Simplify right side
    20,289.04x = 237,588,285.76
  5. Step 5: Solve for x
    x = 237,588,285.76/20,289.04
  6. Step 6: Final answer
    x = 11,710.18

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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.