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Finding the Fourth Proportional to 7,163.57, 9,885.69 and 4,019.76

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Solution

The fourth proportional to 7,163.57, 9,885.69 and 4,019.76 is: 5,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.57 : 9,885.69 = 4,019.76 : x
  2. Step 2: Convert to fraction form
    7,163.57/9,885.69 = 4,019.76/x
  3. Step 3: Cross multiply
    7,163.57x = 9,885.69 × 4,019.76
  4. Step 4: Simplify right side
    7,163.57x = 39,738,101.23
  5. Step 5: Solve for x
    x = 39,738,101.23/7,163.57
  6. Step 6: Final answer
    x = 5,547.25

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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.