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Finding the Fourth Proportional to 12,019.34, 18,004.53 and 9,806.06

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Solution

The fourth proportional to 12,019.34, 18,004.53 and 9,806.06 is: 14,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.34 : 18,004.53 = 9,806.06 : x
  2. Step 2: Convert to fraction form
    12,019.34/18,004.53 = 9,806.06/x
  3. Step 3: Cross multiply
    12,019.34x = 18,004.53 × 9,806.06
  4. Step 4: Simplify right side
    12,019.34x = 176,553,583.24
  5. Step 5: Solve for x
    x = 176,553,583.24/12,019.34
  6. Step 6: Final answer
    x = 14,689.12

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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.