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Finding the Fourth Proportional to 20,665.62, 30,981.18 and 9,580.23

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Solution

The fourth proportional to 20,665.62, 30,981.18 and 9,580.23 is: 14,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.62 : 30,981.18 = 9,580.23 : x
  2. Step 2: Convert to fraction form
    20,665.62/30,981.18 = 9,580.23/x
  3. Step 3: Cross multiply
    20,665.62x = 30,981.18 × 9,580.23
  4. Step 4: Simplify right side
    20,665.62x = 296,806,830.07
  5. Step 5: Solve for x
    x = 296,806,830.07/20,665.62
  6. Step 6: Final answer
    x = 14,362.35

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1.5x scale

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.