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Finding the Fourth Proportional to 7,083.72, 9,776.72 and 4,099.04

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Solution

The fourth proportional to 7,083.72, 9,776.72 and 4,099.04 is: 5,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.72 : 9,776.72 = 4,099.04 : x
  2. Step 2: Convert to fraction form
    7,083.72/9,776.72 = 4,099.04/x
  3. Step 3: Cross multiply
    7,083.72x = 9,776.72 × 4,099.04
  4. Step 4: Simplify right side
    7,083.72x = 40,075,166.35
  5. Step 5: Solve for x
    x = 40,075,166.35/7,083.72
  6. Step 6: Final answer
    x = 5,657.36

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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.