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Finding the Fourth Proportional to 8,457.60, 11,661.12 and 7,391.04

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Solution

The fourth proportional to 8,457.60, 11,661.12 and 7,391.04 is: 10,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.60 : 11,661.12 = 7,391.04 : x
  2. Step 2: Convert to fraction form
    8,457.60/11,661.12 = 7,391.04/x
  3. Step 3: Cross multiply
    8,457.60x = 11,661.12 × 7,391.04
  4. Step 4: Simplify right side
    8,457.60x = 86,187,804.36
  5. Step 5: Solve for x
    x = 86,187,804.36/8,457.60
  6. Step 6: Final answer
    x = 10,190.57

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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.