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Finding the Fourth Proportional to 14,689.19, 20,271.09 and 7,974.81

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Solution

The fourth proportional to 14,689.19, 20,271.09 and 7,974.81 is: 11,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.19 : 20,271.09 = 7,974.81 : x
  2. Step 2: Convert to fraction form
    14,689.19/20,271.09 = 7,974.81/x
  3. Step 3: Cross multiply
    14,689.19x = 20,271.09 × 7,974.81
  4. Step 4: Simplify right side
    14,689.19x = 161,658,091.24
  5. Step 5: Solve for x
    x = 161,658,091.24/14,689.19
  6. Step 6: Final answer
    x = 11,005.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.