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Finding the Fourth Proportional to 12,972.80, 19,411.20 and 9,516.80

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Solution

The fourth proportional to 12,972.80, 19,411.20 and 9,516.80 is: 14,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.80 : 19,411.20 = 9,516.80 : x
  2. Step 2: Convert to fraction form
    12,972.80/19,411.20 = 9,516.80/x
  3. Step 3: Cross multiply
    12,972.80x = 19,411.20 × 9,516.80
  4. Step 4: Simplify right side
    12,972.80x = 184,732,508.16
  5. Step 5: Solve for x
    x = 184,732,508.16/12,972.80
  6. Step 6: Final answer
    x = 14,239.99

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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.