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Finding the Fourth Proportional to 14,358.42, 19,809.72 and 8,977.17

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Solution

The fourth proportional to 14,358.42, 19,809.72 and 8,977.17 is: 12,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.42 : 19,809.72 = 8,977.17 : x
  2. Step 2: Convert to fraction form
    14,358.42/19,809.72 = 8,977.17/x
  3. Step 3: Cross multiply
    14,358.42x = 19,809.72 × 8,977.17
  4. Step 4: Simplify right side
    14,358.42x = 177,835,224.09
  5. Step 5: Solve for x
    x = 177,835,224.09/14,358.42
  6. Step 6: Final answer
    x = 12,385.43

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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.