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Finding the Fourth Proportional to 12,855.40, 17,740.68 and 7,266.40

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Solution

The fourth proportional to 12,855.40, 17,740.68 and 7,266.40 is: 10,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.40 : 17,740.68 = 7,266.40 : x
  2. Step 2: Convert to fraction form
    12,855.40/17,740.68 = 7,266.40/x
  3. Step 3: Cross multiply
    12,855.40x = 17,740.68 × 7,266.40
  4. Step 4: Simplify right side
    12,855.40x = 128,910,877.15
  5. Step 5: Solve for x
    x = 128,910,877.15/12,855.40
  6. Step 6: Final answer
    x = 10,027.76

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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.