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Finding the Fourth Proportional to 7,083.68, 9,775.72 and 3,897.12

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Solution

The fourth proportional to 7,083.68, 9,775.72 and 3,897.12 is: 5,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.68 : 9,775.72 = 3,897.12 : x
  2. Step 2: Convert to fraction form
    7,083.68/9,775.72 = 3,897.12/x
  3. Step 3: Cross multiply
    7,083.68x = 9,775.72 × 3,897.12
  4. Step 4: Simplify right side
    7,083.68x = 38,097,153.93
  5. Step 5: Solve for x
    x = 38,097,153.93/7,083.68
  6. Step 6: Final answer
    x = 5,378.16

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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.