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Finding the Fourth Proportional to 7,219.08, 9,946.49 and 4,857.12

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Solution

The fourth proportional to 7,219.08, 9,946.49 and 4,857.12 is: 6,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.08 : 9,946.49 = 4,857.12 : x
  2. Step 2: Convert to fraction form
    7,219.08/9,946.49 = 4,857.12/x
  3. Step 3: Cross multiply
    7,219.08x = 9,946.49 × 4,857.12
  4. Step 4: Simplify right side
    7,219.08x = 48,311,271.22
  5. Step 5: Solve for x
    x = 48,311,271.22/7,219.08
  6. Step 6: Final answer
    x = 6,692.16

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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.