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Finding the Fourth Proportional to 3,707.80, 5,561.34 and 971.80

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Solution

The fourth proportional to 3,707.80, 5,561.34 and 971.80 is: 1,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.80 : 5,561.34 = 971.80 : x
  2. Step 2: Convert to fraction form
    3,707.80/5,561.34 = 971.80/x
  3. Step 3: Cross multiply
    3,707.80x = 5,561.34 × 971.80
  4. Step 4: Simplify right side
    3,707.80x = 5,404,510.21
  5. Step 5: Solve for x
    x = 5,404,510.21/3,707.80
  6. Step 6: Final answer
    x = 1,457.61

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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.