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Finding the Fourth Proportional to 12,776.99, 17,638.61 and 9,899.26

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Solution

The fourth proportional to 12,776.99, 17,638.61 and 9,899.26 is: 13,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.99 : 17,638.61 = 9,899.26 : x
  2. Step 2: Convert to fraction form
    12,776.99/17,638.61 = 9,899.26/x
  3. Step 3: Cross multiply
    12,776.99x = 17,638.61 × 9,899.26
  4. Step 4: Simplify right side
    12,776.99x = 174,609,247.74
  5. Step 5: Solve for x
    x = 174,609,247.74/12,776.99
  6. Step 6: Final answer
    x = 13,665.91

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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.