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Finding the Fourth Proportional to 6,656.40, 9,965.40 and 6,464.40

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Solution

The fourth proportional to 6,656.40, 9,965.40 and 6,464.40 is: 9,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.40 : 9,965.40 = 6,464.40 : x
  2. Step 2: Convert to fraction form
    6,656.40/9,965.40 = 6,464.40/x
  3. Step 3: Cross multiply
    6,656.40x = 9,965.40 × 6,464.40
  4. Step 4: Simplify right side
    6,656.40x = 64,420,331.76
  5. Step 5: Solve for x
    x = 64,420,331.76/6,656.40
  6. Step 6: Final answer
    x = 9,677.95

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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.