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Finding the Fourth Proportional to 12,960.48, 19,451.36 and 7,416.48

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Solution

The fourth proportional to 12,960.48, 19,451.36 and 7,416.48 is: 11,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.48 : 19,451.36 = 7,416.48 : x
  2. Step 2: Convert to fraction form
    12,960.48/19,451.36 = 7,416.48/x
  3. Step 3: Cross multiply
    12,960.48x = 19,451.36 × 7,416.48
  4. Step 4: Simplify right side
    12,960.48x = 144,260,622.41
  5. Step 5: Solve for x
    x = 144,260,622.41/12,960.48
  6. Step 6: Final answer
    x = 11,130.81

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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.