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Finding the Fourth Proportional to 12,776.74, 17,630.68 and 9,421.38

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Solution

The fourth proportional to 12,776.74, 17,630.68 and 9,421.38 is: 13,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.74 : 17,630.68 = 9,421.38 : x
  2. Step 2: Convert to fraction form
    12,776.74/17,630.68 = 9,421.38/x
  3. Step 3: Cross multiply
    12,776.74x = 17,630.68 × 9,421.38
  4. Step 4: Simplify right side
    12,776.74x = 166,105,335.94
  5. Step 5: Solve for x
    x = 166,105,335.94/12,776.74
  6. Step 6: Final answer
    x = 13,000.60

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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.