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Finding the Fourth Proportional to 6,461.40, 9,692.10 and 2,565.30

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Solution

The fourth proportional to 6,461.40, 9,692.10 and 2,565.30 is: 3,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.40 : 9,692.10 = 2,565.30 : x
  2. Step 2: Convert to fraction form
    6,461.40/9,692.10 = 2,565.30/x
  3. Step 3: Cross multiply
    6,461.40x = 9,692.10 × 2,565.30
  4. Step 4: Simplify right side
    6,461.40x = 24,863,144.13
  5. Step 5: Solve for x
    x = 24,863,144.13/6,461.40
  6. Step 6: Final answer
    x = 3,847.95

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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.