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Finding the Fourth Proportional to 14,461.76, 21,674.40 and 7,874.24

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Solution

The fourth proportional to 14,461.76, 21,674.40 and 7,874.24 is: 11,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.76 : 21,674.40 = 7,874.24 : x
  2. Step 2: Convert to fraction form
    14,461.76/21,674.40 = 7,874.24/x
  3. Step 3: Cross multiply
    14,461.76x = 21,674.40 × 7,874.24
  4. Step 4: Simplify right side
    14,461.76x = 170,669,427.46
  5. Step 5: Solve for x
    x = 170,669,427.46/14,461.76
  6. Step 6: Final answer
    x = 11,801.43

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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.