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Finding the Fourth Proportional to 6,565, 9,847.50 and 6,399.76

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Solution

The fourth proportional to 6,565, 9,847.50 and 6,399.76 is: 9,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565 : 9,847.50 = 6,399.76 : x
  2. Step 2: Convert to fraction form
    6,565/9,847.50 = 6,399.76/x
  3. Step 3: Cross multiply
    6,565x = 9,847.50 × 6,399.76
  4. Step 4: Simplify right side
    6,565x = 63,021,636.60
  5. Step 5: Solve for x
    x = 63,021,636.60/6,565
  6. Step 6: Final answer
    x = 9,599.64

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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.