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Finding the Fourth Proportional to 6,646.60, 9,969.90 and 4,969.90

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Solution

The fourth proportional to 6,646.60, 9,969.90 and 4,969.90 is: 7,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.60 : 9,969.90 = 4,969.90 : x
  2. Step 2: Convert to fraction form
    6,646.60/9,969.90 = 4,969.90/x
  3. Step 3: Cross multiply
    6,646.60x = 9,969.90 × 4,969.90
  4. Step 4: Simplify right side
    6,646.60x = 49,549,406.01
  5. Step 5: Solve for x
    x = 49,549,406.01/6,646.60
  6. Step 6: Final answer
    x = 7,454.85

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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.