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Finding the Fourth Proportional to 12,642.63, 17,446.70 and 6,977.45

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Solution

The fourth proportional to 12,642.63, 17,446.70 and 6,977.45 is: 9,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.63 : 17,446.70 = 6,977.45 : x
  2. Step 2: Convert to fraction form
    12,642.63/17,446.70 = 6,977.45/x
  3. Step 3: Cross multiply
    12,642.63x = 17,446.70 × 6,977.45
  4. Step 4: Simplify right side
    12,642.63x = 121,733,354.79
  5. Step 5: Solve for x
    x = 121,733,354.79/12,642.63
  6. Step 6: Final answer
    x = 9,628.80

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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.