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Finding the Fourth Proportional to 7,130.92, 10,692.06 and 4,209.64

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Solution

The fourth proportional to 7,130.92, 10,692.06 and 4,209.64 is: 6,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.92 : 10,692.06 = 4,209.64 : x
  2. Step 2: Convert to fraction form
    7,130.92/10,692.06 = 4,209.64/x
  3. Step 3: Cross multiply
    7,130.92x = 10,692.06 × 4,209.64
  4. Step 4: Simplify right side
    7,130.92x = 45,009,723.46
  5. Step 5: Solve for x
    x = 45,009,723.46/7,130.92
  6. Step 6: Final answer
    x = 6,311.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.