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Finding the Fourth Proportional to 12,927.94, 19,421.07 and 7,737.46

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Solution

The fourth proportional to 12,927.94, 19,421.07 and 7,737.46 is: 11,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.94 : 19,421.07 = 7,737.46 : x
  2. Step 2: Convert to fraction form
    12,927.94/19,421.07 = 7,737.46/x
  3. Step 3: Cross multiply
    12,927.94x = 19,421.07 × 7,737.46
  4. Step 4: Simplify right side
    12,927.94x = 150,269,752.28
  5. Step 5: Solve for x
    x = 150,269,752.28/12,927.94
  6. Step 6: Final answer
    x = 11,623.64

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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.