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Finding the Fourth Proportional to 12,933.87, 19,400.87 and 5,142.71

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Solution

The fourth proportional to 12,933.87, 19,400.87 and 5,142.71 is: 7,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.87 : 19,400.87 = 5,142.71 : x
  2. Step 2: Convert to fraction form
    12,933.87/19,400.87 = 5,142.71/x
  3. Step 3: Cross multiply
    12,933.87x = 19,400.87 × 5,142.71
  4. Step 4: Simplify right side
    12,933.87x = 99,772,925.44
  5. Step 5: Solve for x
    x = 99,772,925.44/12,933.87
  6. Step 6: Final answer
    x = 7,714.08

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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.