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Finding the Fourth Proportional to 12,865.09, 17,761.80 and 9,875.20

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Solution

The fourth proportional to 12,865.09, 17,761.80 and 9,875.20 is: 13,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.09 : 17,761.80 = 9,875.20 : x
  2. Step 2: Convert to fraction form
    12,865.09/17,761.80 = 9,875.20/x
  3. Step 3: Cross multiply
    12,865.09x = 17,761.80 × 9,875.20
  4. Step 4: Simplify right side
    12,865.09x = 175,401,327.36
  5. Step 5: Solve for x
    x = 175,401,327.36/12,865.09
  6. Step 6: Final answer
    x = 13,633.90

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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.