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Finding the Fourth Proportional to 6,460.72, 9,692.40 and 2,078.08

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Solution

The fourth proportional to 6,460.72, 9,692.40 and 2,078.08 is: 3,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.72 : 9,692.40 = 2,078.08 : x
  2. Step 2: Convert to fraction form
    6,460.72/9,692.40 = 2,078.08/x
  3. Step 3: Cross multiply
    6,460.72x = 9,692.40 × 2,078.08
  4. Step 4: Simplify right side
    6,460.72x = 20,141,582.59
  5. Step 5: Solve for x
    x = 20,141,582.59/6,460.72
  6. Step 6: Final answer
    x = 3,117.54

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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.