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Finding the Fourth Proportional to 7,137.99, 9,852.57 and 4,485.38

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Solution

The fourth proportional to 7,137.99, 9,852.57 and 4,485.38 is: 6,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.99 : 9,852.57 = 4,485.38 : x
  2. Step 2: Convert to fraction form
    7,137.99/9,852.57 = 4,485.38/x
  3. Step 3: Cross multiply
    7,137.99x = 9,852.57 × 4,485.38
  4. Step 4: Simplify right side
    7,137.99x = 44,192,471.16
  5. Step 5: Solve for x
    x = 44,192,471.16/7,137.99
  6. Step 6: Final answer
    x = 6,191.16

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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.