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Finding the Fourth Proportional to 6,464.40, 9,707.40 and 4,282.80

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Solution

The fourth proportional to 6,464.40, 9,707.40 and 4,282.80 is: 6,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.40 : 9,707.40 = 4,282.80 : x
  2. Step 2: Convert to fraction form
    6,464.40/9,707.40 = 4,282.80/x
  3. Step 3: Cross multiply
    6,464.40x = 9,707.40 × 4,282.80
  4. Step 4: Simplify right side
    6,464.40x = 41,574,852.72
  5. Step 5: Solve for x
    x = 41,574,852.72/6,464.40
  6. Step 6: Final answer
    x = 6,431.36

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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.