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Finding the Fourth Proportional to 12,950.20, 17,877.78 and 7,646.68

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Solution

The fourth proportional to 12,950.20, 17,877.78 and 7,646.68 is: 10,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.20 : 17,877.78 = 7,646.68 : x
  2. Step 2: Convert to fraction form
    12,950.20/17,877.78 = 7,646.68/x
  3. Step 3: Cross multiply
    12,950.20x = 17,877.78 × 7,646.68
  4. Step 4: Simplify right side
    12,950.20x = 136,705,662.77
  5. Step 5: Solve for x
    x = 136,705,662.77/12,950.20
  6. Step 6: Final answer
    x = 10,556.26

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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.