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Finding the Fourth Proportional to 12,084.80, 16,661.36 and 7,828.32

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Solution

The fourth proportional to 12,084.80, 16,661.36 and 7,828.32 is: 10,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.80 : 16,661.36 = 7,828.32 : x
  2. Step 2: Convert to fraction form
    12,084.80/16,661.36 = 7,828.32/x
  3. Step 3: Cross multiply
    12,084.80x = 16,661.36 × 7,828.32
  4. Step 4: Simplify right side
    12,084.80x = 130,430,457.72
  5. Step 5: Solve for x
    x = 130,430,457.72/12,084.80
  6. Step 6: Final answer
    x = 10,792.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.