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Finding the Fourth Proportional to 12,900.96, 19,347.24 and 7,963.20

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Solution

The fourth proportional to 12,900.96, 19,347.24 and 7,963.20 is: 11,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.96 : 19,347.24 = 7,963.20 : x
  2. Step 2: Convert to fraction form
    12,900.96/19,347.24 = 7,963.20/x
  3. Step 3: Cross multiply
    12,900.96x = 19,347.24 × 7,963.20
  4. Step 4: Simplify right side
    12,900.96x = 154,065,941.57
  5. Step 5: Solve for x
    x = 154,065,941.57/12,900.96
  6. Step 6: Final answer
    x = 11,942.21

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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.