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Finding the Fourth Proportional to 12,357.68, 18,534.29 and 6,115.68

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Solution

The fourth proportional to 12,357.68, 18,534.29 and 6,115.68 is: 9,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.68 : 18,534.29 = 6,115.68 : x
  2. Step 2: Convert to fraction form
    12,357.68/18,534.29 = 6,115.68/x
  3. Step 3: Cross multiply
    12,357.68x = 18,534.29 × 6,115.68
  4. Step 4: Simplify right side
    12,357.68x = 113,349,756.09
  5. Step 5: Solve for x
    x = 113,349,756.09/12,357.68
  6. Step 6: Final answer
    x = 9,172.42

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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.