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Finding the Fourth Proportional to 12,777.68, 19,168.40 and 4,009.68

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Solution

The fourth proportional to 12,777.68, 19,168.40 and 4,009.68 is: 6,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.68 : 19,168.40 = 4,009.68 : x
  2. Step 2: Convert to fraction form
    12,777.68/19,168.40 = 4,009.68/x
  3. Step 3: Cross multiply
    12,777.68x = 19,168.40 × 4,009.68
  4. Step 4: Simplify right side
    12,777.68x = 76,859,150.11
  5. Step 5: Solve for x
    x = 76,859,150.11/12,777.68
  6. Step 6: Final answer
    x = 6,015.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.