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Finding the Fourth Proportional to 7,144.76, 9,859.26 and 4,160.48

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Solution

The fourth proportional to 7,144.76, 9,859.26 and 4,160.48 is: 5,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.76 : 9,859.26 = 4,160.48 : x
  2. Step 2: Convert to fraction form
    7,144.76/9,859.26 = 4,160.48/x
  3. Step 3: Cross multiply
    7,144.76x = 9,859.26 × 4,160.48
  4. Step 4: Simplify right side
    7,144.76x = 41,019,254.04
  5. Step 5: Solve for x
    x = 41,019,254.04/7,144.76
  6. Step 6: Final answer
    x = 5,741.17

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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.